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060CCAlg1U2L3ALinearEquationSolvingReview</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <table> <tbody> <tr> <td> <p><span class="s1">A.</span></p> <p><span class="s1">x/3 - 7 = -2</span></p> <p><span class="s1">x/3 = 5</span></p> <p><span class="s1">x = 15</span></p> </td> <td> <p><span class="s1">B.</span></p> <p><span class="s1">4x + 3 = -17</span></p> <p><span class="s1">4x = -20</span></p> <p><span class="s1">x = -5</span></p> </td> <td> <p><span class="s1">C.</span></p> <p><span class="s1">5x + 12 = 87</span></p> <p><span class="s1">x = (87 - 12)/5</span></p> <p><span class="s1">x = 15</span></p> </td> </tr> <tr> <td> <p><span class="s1">D. (x+7)/3 = 2</span></p> <p><span class="s1">x+7 = 6</span></p> <p><span class="s1">x = -1</span></p> </td> <td> <p><span class="s1">E.<span class="Apple-converted-space"></span></span></p> <p><span class="s1">-6 (x-1) = 18</span></p> <p><span class="s1">-6 = 18x - 18</span></p> <p><span class="s1">18x = 12</span></p> <p><span class="s1">x = 12/18</span></p> <p><span class="s1">x = 2/3 = 0.66</span></p> </td> <td> <p><span class="s1">F</span></p> <p><span class="s1">8x + 2 = -2<span class="Apple-converted-space"></span></span></p> <p><span class="s1">8x = -2 -2<span class="Apple-converted-space"></span></span></p> <p><span class="s1">x = -1/2 = -0.5</span></p> </td> </tr> <tr> <td> <p><span class="s1">G</span></p> <p><span class="s1">(3/4)x - 5 = 4</span></p> <p><span class="s1">(3/4)x = 9</span></p> <p><span class="s1">x = 9 * (4/3)</span></p> <p><span class="s1">x = 12</span></p> </td> <td> <p><span class="s1">H</span></p> <p><span class="s1">(-5/2)x + 6 = 1</span></p> <p><span class="s1">(-5/2)x = -5</span></p> <p><span class="s1">x = (-5)/(-5/2)</span></p> <p><span class="s1">x = 2</span></p> </td> <td> <p><span class="s1">I</span></p> <p><span class="s1">6x + 3 = -1</span></p> <p><span class="s1">6x = -4</span></p> <p><span class="s1">x = -(4/6) = -(2/3) = -0.66</span></p> </td> </tr> </tbody> </table> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #2</span></p> <p><span class="s1"></span> </p> <p><span class="s2">5(x-3)</span><span class="s1"> + 2 = 7</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>8</span></p> <p><span class="s1"></span> </p> <p><span class="s1">5(x-3) + 16 = 56</span></p> <p><span class="s1">5(x-3) = 40</span></p> <p><span class="s1">x-3= 8</span></p> <p><span class="s1">x = 11</span></p> <p><span class="s1"></span> </p> <p><span class="s1"><span class="Apple-converted-space"> </span>Exercise #3</span></p> <p><span class="s1">(a) 5(x-3) + 2x = 4(x+3)</span></p> <p><span class="s1">5x - 15 + 2x = 4x + 12</span></p> <p><span class="s1">7x - 15 = 4x + 12</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(b) 7x - 15 = 4x + 12</span></p> <p><span class="s1">3x = 27</span></p> <p><span class="s1">x = 9</span></p> <p><span class="s1">Let x = 9 for 5(x-3) + 2x = 4(x+3)</span></p> <p><span class="s1">5(9-3) + 2(9) = 4((9)+3)</span></p> <p><span class="s1">30 + 18 = 48</span></p> <p><span class="s1">The equation holds true.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #4</span></p> <p><span class="s1">(a) 7(x-2)-3(x+3) = 5(x-3) + x</span></p> <p><span class="s1">7x - 14 - 3x - 9 = 5x - 15 + x</span></p> <p><span class="s1">4x - 23 = 6x - 15</span></p> <p><span class="s1">2x = -8</span></p> <p><span class="s1">x = -4</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(b) 9 - 6(x+1) = 2(x-4) + 27</span></p> <p><span class="s1">9 - 6x - 6 = 2x - 8 + 27</span></p> <p><span class="s1">3 - 6x = 2x + 19</span></p> <p><span class="s1">8x = 3-19</span></p> <p><span class="s1">x = (-16)/8</span></p> <p><span class="s1">x = -2</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Fluency</span></p> <p><span class="s1">1.</span></p> <p><span class="s1">a. 7x - 15 = 1</span></p> <p><span class="s1">7x = 16</span></p> <p><span class="s1">x = 16/7 = 2.28</span></p> <p><span class="s1"></span> </p> <p><span class="s1">b. (x+2)/4 = -2</span></p> <p><span class="s1">x+2 = -8</span></p> <p><span class="s1">x = -10</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">c. (-3/5)x + 2 = 7</span></p> <p><span class="s1">(-3/5)x = 5</span></p> <p><span class="s1">x = -8.333 OR -8 and 1/3</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">2.</span></p> <p><span class="s1">a. </span><span class="s2">5(x+1) + 4</span><span class="s1"> = 4</span></p> <p><span class="s1"><span class="Apple-tab-span"> </span>6</span></p> <p><span class="s1">5(x+1) + 4 = 24</span></p> <p><span class="s1">5x + 9 = 24</span></p> <p><span class="s1">5x = 15</span></p> <p><span class="s1">x = 3</span></p> <p><span class="s1"></span> </p> <p><span class="s1">b. </span><span class="s2">5(x-3)</span><span class="s1"> + 2 = 7</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>8</span></p> <p><span class="s1">5(x-3) + 16 = 56</span></p> <p><span class="s1">5x - 15 + 16 = 56</span></p> <p><span class="s1">5x + 1 = 56</span></p> <p><span class="s1">5x = 55</span></p> <p><span class="s1">x = 11</span></p> <p><span class="s1"></span> </p> <p><span class="s1">c. -(3/2)x + 2 = -4</span></p> <p><span class="s1">-(3/2)x = -6</span></p> <p><span class="s1">(3/2)x = 6</span></p> <p><span class="s1">x = 4</span></p> <p><span class="s1"></span> </p> <p><span class="s1">d. 5(x+1) - 2x = 2(3+x)</span></p> <p><span class="s1">5x + 5 - 2x = 6 + 2x</span></p> <p><span class="s1">x = 6 - 5</span></p> <p><span class="s1">x = 1</span></p> <p><span class="s1"></span> </p> <p><span class="s1">e. 3(x-4) - 2(3x+4) = 4(3-x) + 5x + 4</span></p> <p><span class="s1">3x - 12 - 6x - 8 = 12 - 4x + 5x + 4</span></p> <p><span class="s1">3x - 6x + 4x - 5x = 12 + 8 + 12 + 4</span></p> <p><span class="s1">-4x = 36</span></p> <p><span class="s1">x = -9</span></p> <p><span class="s1"></span> </p> <p><span class="s1">f. (1/2) (2- 6 x) - 4 ( x + (3/2)) = -(x-3) + 4</span></p> <p><span class="s1">(2-6x) - 8 (x+ (3/2)) = -2(x-3) + 8</span></p> <p><span class="s1">2-6x - 8x - 12 = -2x + 6 + 8</span></p> <p><span class="s1">12x = 2-12 + 6 + 8</span></p> <p><span class="s1">12x = 4</span></p> <p><span class="s1">x = 1/3</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Applications</span></p> <p><span class="s1">3. a. Let equation equal target number of tiles (150)</span></p> <p><span class="s1">12b + 38 = 150</span></p> <p><span class="s1">12b = 150 - 38</span></p> <p><span class="s1">b = (150-38)/12<span class="Apple-converted-space"></span></span></p> <p><span class="s1">b = 9.33 -> Round up to b = 10</span></p> <p><span class="s1">We need to round up our answer because the supplier does not sell bundles smaller than one full bundle. Hence, 10 is the minimum number we can buy. We will thus be left with 158 tiles.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">b. After buying 10 bundles and selling 150 tiles, the tile warehouse store will be left with x = 158 - 150 = 8 tiles. If the store wants to keep 30 tiles in stock at all times, it has to buy 3 more bundles of tiles. This will allow it to have 30+ 8 = 38 tiles, which exceeds the minimum required stock of 30 tiles.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Reasoning</span></p> <p><span class="s1">4. Erroneous solution:</span></p> <p><span class="s2">-2(x-3)</span><span class="s1"> = 4</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>5</span></p> <p><span class="s1"></span> </p> <p><span class="s1">5 . </span><span class="s2">-2(x-3)</span><span class="s1"> = 4 . 5</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>5</span></p> <p><span class="s1"></span> </p> <p><span class="s1">-2(x-3) = 20</span></p> <p><span class="s1"><b>-2x -<span class="Apple-converted-space"> </span>6 = 20<span class="Apple-tab-span"> </span><span class="Apple-tab-span"> </span><span class="Apple-tab-span"> </span>ERROR: should be -2x + 6 = 20</b></span></p> <p><span class="s1">-2x - 6 + 6 = 20 + 6</span></p> <ul> <li><span class="s3"></span><span class="s1">2x = 26</span></li> </ul> <p><span class="s1">x = -13</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">Corrected solution:</span></p> <p><span class="s2">-2(x-3)</span><span class="s1"> = 4</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>5</span></p> <p><span class="s1"></span> </p> <p><span class="s1">5 . </span><span class="s2">-2(x-3)</span><span class="s1"> = 4 . 5</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>5</span></p> <p><span class="s1"></span> </p> <p><span class="s1">-2(x-3) = 20</span></p> <p><span class="s1">-2x +<span class="Apple-converted-space"> </span>6 = 20</span></p> <p><span class="s1">-2x<span class="Apple-converted-space"> </span>= 20 - 6</span></p> <ul> <li><span class="s3"></span><span class="s1">2x = 14</span></li> </ul> <p><span class="s1">x = - 7<span class="Apple-converted-space"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">204CCAlg1U2L5LinearWordProblems</span></p> <p><span class="s1">LINEAR WORD PROBLEMS COMMON CORE ALGEBRA I</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #1:<span class="Apple-converted-space"></span></span></p> <p><span class="s1">(a)Test a: 1</span></p> <p><span class="s1">1 + 5 = 6 (wrong number)</span></p> <p><span class="s1">Test b: 2<span class="Apple-converted-space"></span></span></p> <p><span class="s1">2 + 5 = 7 (wrong number)</span></p> <p><span class="s1">Test c: 8</span></p> <p><span class="s1">8 + 5 = 13 (wrong number)</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(b):Let the number of interest be x</span></p> <p><span class="s1">x + 5 = 17</span></p> <p><span class="s1">x = 17 - 5 = 12</span></p> <p><span class="s1">The number is 12.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #2:</span></p> <p><span class="s1">(1) 2n - n + 5 = 3</span></p> <p><span class="s1">(2) n - (2n + 5) = 3</span></p> <p><span class="s1">(3) n + 5 - 2n = 3</span></p> <p><span class="s1">(4) 2n - (n+5) = 3</span></p> <p><span class="s1"></span> </p> <p><span class="s1">The option (4) could be used the find the value of the number, n, because its first term (2n) and its second term (n+5) correspond to those of twice the number and a number that is five more than it is. Furthermore, the equation takes the difference between the two.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">As proof:</span></p> <p><span class="s1">2n - (n+5) = 3</span></p> <p><span class="s1">n - 5 = 3</span></p> <p><span class="s1">n = 8</span></p> <p><span class="s1"></span> </p> <p><span class="s1">The number is 8.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #3</span></p> <p><span class="s1">(a) Test 1: Let us say Evie’s age is 5.</span></p> <p><span class="s1">Now: Evie’s father is 36 + 5 = 41</span></p> <p><span class="s1">3 years from now: Evie’s father should be 44, but five times her age (8) is 40.<span class="Apple-converted-space"></span></span></p> <p><span class="s1">This number is wrong.</span></p> <p><span class="s1"></span></p> <p><span class="s1">Test 2: Let us say Evie’s age is 10.</span></p> <p><span class="s1">Now: Evie’s father is 36 + 10 = 46</span></p> <p><span class="s1">3 years from now: Evie’s father should be 49, but five times her age (10) is 50.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX">XXXX XXXXXX XX wrong.</span></p> <p><span class="s1"></span></p> <p><span XXXXX="XX">(b) XXX Evie’s age XXX XX x, and her father’s age at current time be x + XX.</span></p> <p><span XXXXX="s1">Let XXXX’s age three XXXXX from now XX x + 3, and her father’s age X XXXXX XXXX XXX be 5x + XX, or also, x + XX + X = x + XX</span></p> <p><span class="XX"></span> </p> <p><span class="XX">Three years XXXX now: her XXXXXX’s age is equal XX:</span></p> <p><span class="XX">XX + XX = x + XX</span></p> <p><span class="XX">4x = 24</span></p> <p><span class="XX">x = 6</span></p> <p><span class="s1">XXXXX, Evie XX X XXXXX XXX XXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXXXX #X</span></p> <p><span XXXXX="s1">Kirk = x, Jim = y</span></p> <p><span XXXXX="s1">XXXXXXXX 1: <span class="Apple-tab-span"> </span><span XXXXX="XXXXX-tab-span"> </span>x + XX = y</span></p> <p><span class="s1">EQUATION 2: <span XXXXX="XXXXX-tab-span"> </span><span XXXXX="Apple-tab-span"> </span>(X/X) y = x - 2</span></p> <p><span class="XX">Let EQUATION 2 XX XXXXXXXXXXX into XXXXXXXX X (XXXXXXXX XXXX sides by 2): y = 2x - X</span></p> <p><span class="s1">XXXXXXXXX, equating XXXXXXXX 1 XXX XXXXXXXX X:</span></p> <p><span class="s1">x + 12 = XX - 4</span></p> <p><span XXXXX="XX">x = 16</span></p> <p><span XXXXX="XX">y = x + XX = 16 + XX = 28</span></p> <p><span class="XX">XXXX has 16 dollars, XXX has 28 dollars</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXXXXXX</span></p> <p><span class="XX">1. (1) XXX first equation, 3n + (XX -X) = 15 , XXXXX be used to XXXX the XXXXX XX the XXXXXX n. XXXX is because XXX first equation XXXXXXXX XXX XXX XX three XXXXX a number XXX 2 less than 4 XXXXX that same XXXXXX, and takes XXXXX sum and XXXXXXX it XX the target XXXXXX of XX.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">2.</span></p> <ol> <li><span class="s1">Let XXX XXX XX 3 less XXXX 5 XXXXX a XXXXXX and the number XXXXXXXXX by X XXXXXXXXX 24 be:</span></li> </ol> <p><span class="XX">XX - X + (x+X) = 24</span></p> <p><span XXXXX="s1">XXXXXXX XXX XXXXXXXX:</span></p> <p><span class="s1">6x + 6 = 24</span></p> <p><span class="s1">x = 18/X = X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(b) XXX XXX’s age XX t, Andrew’s age XX a, XXXX’s age XX s. The equations XXX XX follows:</span></p> <p><span class="XX">t =<span class="Apple-converted-XXXXX"> </span>2a + 4</span></p> <p><span XXXXX="XX">s = 5a - 8<span XXXXX="Apple-converted-XXXXX"></span></span></p> <p><span class="XX">t = s because XXX XXX XXXX XXX XXXXX.</span></p> <p><span XXXXX="XX">2a + 4 = 5a - 8</span></p> <p><span class="XX">3a = XX</span></p> <p><span class="XX">a = X</span></p> <p><span class="XX">t= X(4) + 4 = XX</span></p> <p><span XXXXX="s1">s = XX - X = XX<span XXXXX="XXXXX-converted-XXXXX"> </span></span></p> <p><span XXXXX="s1">XXXXXX XX 4 years XXX.<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span class="XX"></span> </p> <p><span class="s1">(c) XXXXX months XX use = x, x=1 and XXXX of plan XX XXXXX XX $35(x) + $12.XX = $XX.XX, and XXXXX texts are 450, XXXX XXX XXXX is XX.5/450 = $X.XXX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(d)<span class="Apple-XXXXXXXXX-space"> </span>XXXXXX’s son’s age is x, Daniel’s age XX x + XX. XX six XXXXX, XXXXXX ’s son will be x+X, XXXXXX will XX 3(x+6) or x + XX + 6 = x + XX.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXX, let XXXXXX’s age in X years XX either X(x+X) or x + XX.</span></p> <p><span XXXXX="s1">XXXXXXXX both XXXXXXXXXXXXX XXX XXXXXX’s age in 6 XXXXX, XX get:</span></p> <p><span XXXXX="s1">3(x+X) = x + 32</span></p> <p><span class="s1">XX + 18 = x + XX</span></p> <p><span class="s1">3x - x = XX</span></p> <p><span XXXXX="XX">2x = 14</span></p> <p><span XXXXX="XX">Daniel’s XXX’s XXXXXXX age: x = X XXXXXX’s present age: x + 26 = XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXXXXXXXX, XXXXXX’s son is 7 and Daniel XX 33.<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">Applications</span></p> <p><span XXXXX="s1">3. XXX age of XXXXXXX XX x, Kirk XX 2(x-XX), Brian XX XX - XX, Matt be X.5x + X</span></p> <p><span class="s1">XXX XXXXX of XXXXX ages is XXXXX by XXX equation:</span></p> <p><span XXXXX="s1">x + 2(x - 10) + XX - 12 + 0.5x + 6 = XXX</span></p> <p><span XXXXX="XX">x + XX - XX + 2x - 12 + 0.5x + 6 = XXX</span></p> <p><span class="XX"></span> </p> <p><span class="XX">5.XX = XXX</span></p> <p><span class="s1">x = XX (Therefore, XXXXXXX XX 24)</span></p> <p><span class="XX">Kirk is 2(24-XX) = 28 XXXXX XXX.</span></p> <p><span XXXXX="s1">XXXXX XX 2(24) - XX = XX XXXXX old.</span></p> <p><span XXXXX="XX">XXXX is X.X(24) + 6 = XX years old.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Reasoning</span></p> <p><span class="XX">Let 0.XXX+25 = X.XXX + XX.X</span></p> <p><span class="s1">0.05x = -6.5</span></p> <p><span XXXXX="s1">x = -XXX</span></p> <p><span class="XX"></span> </p> <p><span class="XX">After 130 minutes, XXX two XXXXX XXXX charge XXX same XXXXXX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XXXX means that XXXXXXX’s XXXX is generally XXXX expensive than XXXXXXX’s XXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">428CCAlg1U2L2SeeingStructuretoSolveEquations<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="s1">XXXXXX XXXXXXXXX TO SOLVE EQUATIONS XXXXXX CORE ALGEBRA I</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXXXXXXX #X</span></p> <ol> <li><span XXXXX="s1">x was XXXXXXXXXX XX X XXX XXXXXXXXX by X, and XXXX the XXXXXX XXXX XXXX side XX the XXXXXXXX was XXXXXXX XX XX.</span></li> <li><span XXXXX="s1"> 5x + X = 23</span></li> </ol> <p><span XXXXX="XX">5x = 23 - 3</span></p> <p><span class="s1">5x = 20</span></p> <p><span XXXXX="s1">x = X</span></p> <p><span class="s1"></span> </p> <p><span class="s1">XXXXXXXX #2</span></p> <p><span class="XX">(a) What happened XX x? x XXX XXXXXXX XX X, XXXXXXX XX X XXX 7 XXX added XX the entire XXX. XX was XXXX equated to -X.<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s2">x - X</span><span XXXXX="s1"> + 7 = XX</span></p> <p><span class="XX"><span XXXXX="XXXXX-converted-space"> </span>2</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">x - X + XX = 46</span></p> <p><span XXXXX="XX">x = XX - XX + X</span></p> <p><span class="s1">x = 35</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">(b) What XXXXXXXX XX x? x was increased XX X, x+1 XXX XXXXXXXXXX by X, and XXX XXXXX XXX was XXXXXXX by X. XX XXX XXXX equated XX -X.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">4(x+X) - 2 = -X</span></p> <p><span class="s1">XX + 4 - X = -6</span></p> <p><span class="XX">4x = -6 + X - 4</span></p> <p><span XXXXX="s1">4x = -8</span></p> <p><span XXXXX="XX">x = -X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XXXXXXXX #X</span></p> <p><span class="s1">(a) -2 (x - X) + X = 2</span></p> <p><span XXXXX="s1"><span XXXXX="Apple-tab-span"> </span>-X(x-X) + 6 = 0</span></p> <p><span class="XX"><span class="XXXXX-tab-span"> </span>-2 (x-4) = -6</span></p> <p><span class="s1"><span class="XXXXX-tab-span"> </span>(x-X) = X</span></p> <p><span XXXXX="XX"><span XXXXX="Apple-tab-span"> </span>x = 4+X</span></p> <p><span XXXXX="XX"><span class="XXXXX-tab-span"> </span>x = X</span></p> <p><span XXXXX="XX">(b) Distributive XXXXXXXX</span></p> <p><span class="XX">-2 (x - X) + 8 = 2</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-tab-span"> </span>-2x + 8 + 8 = 2</span></p> <p><span XXXXX="XX"><span class="XXXXX-tab-span"> </span>-XX = -14</span></p> <p><span XXXXX="XX"><span class="XXXXX-tab-span"> </span>x = -XX/-2</span></p> <p><span class="XX"><span XXXXX="Apple-tab-span"> </span>x = 7</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">Exercise #4</span></p> <p><span XXXXX="XX">(a) XXXXXXX up XXX XXXXXXXX: 5x - 10 = 35</span></p> <p><span XXXXX="s1"><span class="Apple-tab-span"> </span>XX = 45</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-tab-span"> </span>x = X</span></p> <p><span XXXXX="XX">XXXXXXXXXXXX x = 5 XXXX the XXXXXXXX equation</span></p> <p><span XXXXX="s1">X (9) - XX = 35</span></p> <p><span XXXXX="XX" <XXX="" equation="" XXXXX,="" so="" the="" answer="" is="" correct.="">span class="Apple-converted-XXXXX"&XX;</span></p> <p><span XXXXX="XX">(b) XXXXXXX XX the equation: (X(x+X)) + 10 = X</span></p> <p><span class="XX">Using XXX distribution XXXXXX:</span></p> <p><span class="XX">3x + 21 + XX = X</span></p> <p><span class="XX">3x = 4- 21 - XX</span></p> <p><span XXXXX="s1">XX = - 27</span></p> <p><span XXXXX="XX">x = -X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXXX</span></p> <p><span class="XX">1. x/5 - X XX XXXXXXXXX XX x XXXXXXX by 5, and XXXXXXX (XXXXXXXXXX) XX 3.</span></p> <p><span class="s1">XXXXX, XXX XXXXXXX XXXXXX is (X).</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">X. XX + X = 4</span></p> <p><span XXXXX="XX">6x = X - 1</span></p> <p><span XXXXX="s1">XX = 3</span></p> <p><span class="XX">x = X/6 = 1/X</span></p> <p><span XXXXX="XX">XXX answer XX (2)</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">X. 5(x-2) - 6 = 24</span></p> <p><span class="s1">X(x-2) = 24 + 6</span></p> <p><span class="s1">XX - XX = 30</span></p> <p><span XXXXX="s1">5x = XX</span></p> <p><span XXXXX="XX">x = XX/X = 8</span></p> <p><span class="s1"></span> </p> <p><span class="XX">XXX correct answer is (X)</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"><b>Applications</b></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">X.<span class="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s2">(x + X) </span><span class="s1">= X</span></p> <p><span class="XX"><span XXXXX="Apple-XXXXXXXXX-space"> </span>X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">x + X = 21</span></p> <p><span XXXXX="s1">x = 21 - 5</span></p> <p><span class="XX">x = 16</span></p> <p><span class="s1"></span> </p> <p><span class="XX">5. In XXX present, XXX XXX’s age be m, Zeke’s age XX z. <span class="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">XXX XX XXX XX the equation.</span></p> <p><span XXXXX="XX">X(m-3) + z = 26<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">z = 8</span></p> <p><span class="s1">Substituting X = 8</span></p> <p><span XXXXX="XX">2 (m - X) + X = 26</span></p> <p><span XXXXX="s1">XX - 6 + 8 = XX</span></p> <p><span class="XX">2m = XX + 6 - 8</span></p> <p><span XXXXX="XX">2m = XX</span></p> <p><span XXXXX="s1">m = 12</span></p> <p><span class="s1"></span> </p> <p><span class="s1">XXX answer is XXXXXXX XXXXXXX m - X = 9, XX XXXXXX it XX XX, XXX XX add it XX 8 is XX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">The equation holds.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">X.<span class="Apple-converted-XXXXX"> </span>(a) F = XX + 2L</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">(b) F = 2W + 2L</span></p> <p><span XXXXX="s1">X = X(XX) + 2(XX)</span></p> <p><span XXXXX="XX">F = 64</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(c) If X = 120, and L = 30, then:</span></p> <p><span XXXXX="XX">XXX = XX + X(XX)</span></p> <p><span XXXXX="XX">XX = 60</span></p> <p><span class="s1"></span> </p> <p><span class="s1">7. (a) x was XXXXXXXXXX XX 2, XXX result was reduced XX X, XXX XXXXXX XXX XXXXXXXXXX XX X, XXX XXXXXX was XXXXXXX by X, XXX result XXX reduced by X, the XXXXXX XXX XXXXXXX to XX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">(b) </span><span class="XX">X (2x - X) </span><span class="s1">- 4 = XX</span></p> <p><span XXXXX="XX"><span class="XXXXX-tab-span"> </span>X</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">Multiply everything by 3, expand XXXX hand side XX XXX XXXXXXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXX - 5 - 12 = XX</span></p> <p><span XXXXX="XX">10x = XX</span></p> <p><span XXXXX="XX">x = XX/XX</span></p> <p><span XXXXX="XX">x = X</span></p> <p><span class="XX"></span> </p> <p><span class="s1">X. (a) x was XXXXXXXXXX XX X, the result was added XX 2, XXX XXXXXX was multiplied by 4, the result XXX XXXXXXX to -16.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">4(3x + 2) = -XX</span></p> <p><span XXXXX="s1">3x + 2 = -64</span></p> <p><span XXXXX="s1">XX = -XX</span></p> <p><span class="XX">x = -XX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(b) 4(XX + X) = -XX</span></p> <p><span XXXXX="XX">12x + 8 = -XX</span></p> <p><span class="XX">12x = -24</span></p> <p><span class="XX">x = -X</span></p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">464CCAlg1U2L8Inequalities<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span class="XX">XXXXXXXXXXXX (XXXX XXXXXXX XXXX/FALSE QUESTION) COMMON CORE XXXXXXX I</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">Exercise #1</span></p> <ol> <li><span XXXXX="s1">True (b) True (c) False (d) True (e) XXXX (f) True (g) XXXXX (h) XXXX</span></li> </ol> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">Exercise #2</span></p> <p><span XXXXX="XX" <the="" XXXXXXXXX="" is="" XXXX.="" 4="" 12="" XXXX="" than="" -X="" (a="" positive="" number="" XXXXXX="" a="" XXXXXXXX="" number).="">span class="XXXXX-XXXXXXXXX-space"></span></p> <p><span XXXXX="s1"></span> </p> <ol> <li><span class="XX">XXXX</span></li> </ol> <p><span class="XX"></span> </p> <p><span class="s1">-4<span class="Apple-tab-span"> </span>-X<span XXXXX="Apple-tab-span"> </span>-2<span class="Apple-tab-span"> </span>-X<span XXXXX="Apple-tab-span"> </span>X<span class="XXXXX-tab-span"> </span>X<span class="XXXXX-tab-span"> </span>X<span class="XXXXX-tab-span"> </span>X</span></p> <p><span class="XX">_______________________________________________</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">(b) False</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">-X <span class="XXXXX-tab-span"> </span>-4<span XXXXX="XXXXX-tab-span"> </span>-X</span></p> <p><span XXXXX="XX">XXXXXXXXXXXXXXX</span></p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(c) XXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">-X<span XXXXX="XXXXX-tab-span"> </span>-5<span XXXXX="Apple-tab-span"> </span>-X<span class="Apple-tab-span"> </span>-X<span class="Apple-tab-span"> </span>-X<span class="XXXXX-tab-span"> </span>-1<span class="XXXXX-tab-span"> </span>X</span></p> <p><span class="s1">________________________________________</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Exercise #4</span></p> <p><span XXXXX="s1">3(x - 2) ≥ XX + X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">(a) X(10 - X) ≥ X (10) + 1</span></p> <p><span class="s1">24 ≥ 20 + X</span></p> <p><span class="s1">XX ≥ 21</span></p> <p><span XXXXX="s1">The XXXXXXXXXX XX XXXXX</span></p> <p><span class="s1"></span> </p> <p><span class="XX">(b) X(5 - 2) ≥ 2 (5) + X</span></p> <p><span XXXXX="s1">9 ≥ XX</span></p> <p><span XXXXX="XX">The XXXXXXXXXX is false</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(c) 3(1 - X) ≥ 2 (1) + X</span></p> <p><span XXXXX="XX">-X ≥ X</span></p> <p><span XXXXX="XX">XXX inequality XX XXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(d) 3(X - X) ≥ X (7) + X</span></p> <p><span XXXXX="XX">XX ≥ XX</span></p> <p><span class="s1">XXX XXXXXXXXXX XX true</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXXXXXXX #5</span></p> <p><span XXXXX="XX">(a) XX + X &XX; 4x - X</span></p> <p><span XXXXX="s1">x = 1</span></p> <p><span XXXXX="s1">2(1) + 4 &XX; X(1) - 1</span></p> <p><span XXXXX="XX">X > 3</span></p> <p><span class="XX">XXX inequality XX XXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(b) -3 (x+5) ≥ </span><span class="XX">x+7</span></p> <p><span class="s1"><span XXXXX="XXXXX-tab-span"> </span><span XXXXX="Apple-tab-span"> </span>2<span XXXXX="Apple-tab-span"> </span><span class="XXXXX-tab-span"> </span>XXX x = -X</span></p> <p><span XXXXX="s1">-6 (x + X) ≥ x + X</span></p> <p><span class="XX">-X (-X + 5) ≥ -3 + 7</span></p> <p><span class="XX">-XX ≥ 4</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">XXX XXXXXXXXXX XX false</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(c) x</span><span XXXXX="s4"><XXX>2 </sup></span><span XXXXX="XX">-XXX + 1 &XX; 20 + XX<span class="XXXXX-tab-span"> </span>for x = -2</span></p> <p><span class="s1">XXXXXXXXXX x = -2</span></p> <p><span class="XX">(-X)</span><span class="s4"><sup>X </XXX></span><span class="s1">-10(-X) + X < 20 + 5(-X)</span></p> <p><span XXXXX="s1">X + 20 + X < 20 - 10</span></p> <p><span XXXXX="XX">XX < XX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">The inequality XX XXXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(d) </span><span class="s2">X (x - 5)</span><span XXXXX="XX"> + X ≤ </span><span XXXXX="s2">x - 2 </span><span class="s1"><span XXXXX="Apple-XXXXXXXXX-XXXXX"> <span class="Apple-tab-span"> </span></span>for x = 5</span></p> <p><span XXXXX="XX"><span XXXXX="Apple-tab-span"> </span>X<span class="Apple-tab-span"> </span><span XXXXX="XXXXX-converted-space"> </span>X</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"> </span><span class="XX">X (5 - 5)</span><span class="XX"> + 1 ≤ </span><span XXXXX="XX">X - 2 </span><span class="s1"><span class="Apple-XXXXXXXXX-space"> <span class="Apple-tab-span"> </span></span>XXX x = 5</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-tab-span"> </span>X<span XXXXX="XXXXX-tab-span"> </span><span XXXXX="XXXXX-converted-XXXXX"> </span>9</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"><span XXXXX="Apple-tab-span"> </span>0 + X ≤ X/X</span></p> <p><span class="s1"><span class="Apple-tab-span"> </span><span class="Apple-converted-XXXXX"> </span>1 ≤ 1/X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1" <the="" inequality="" is="" false="">span class="XXXXX-XXXXXXXXX-XXXXX"></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">INEQUALITIES COMMON XXXX ALGEBRA I HOMEWORK</span></p> <p><span XXXXX="XX">XXXXXXX</span></p> <ol> <li><span XXXXX="XX">(a) XXXX (b) False (c) False (d) True (e) XXXXX (f) True (g)XXXX (h) False</span></li> </ol> <p><span class="s1">X. (a) 3x + X ≤ XX - X <span XXXXX="Apple-tab-span"> </span>for x = X</span></p> <p><span XXXXX="s1"><span class="XXXXX-tab-span"> </span>X(8) + 2 ≤ 2(8) - X</span></p> <p><span class="XX"><span class="XXXXX-tab-span"> </span>24 + 2 ≤ 16 - X</span></p> <p><span class="s1"><span XXXXX="XXXXX-tab-span"> </span>26 ≤ XX</span></p> <p><span class="s1">XXX inequality XX XXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(b)<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>XX + 2 ≤ X - XX <span XXXXX="Apple-tab-span"> </span>for x = -2</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-converted-space"> </span>X(-X) + 2 ≤ X - X(-X)</span></p> <p><span class="s1"><span XXXXX="Apple-converted-space"> </span>-6 + X ≤ -4</span></p> <p><span class="s1">XXX inequality XX XXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">(c) (x-3)</span><span XXXXX="XX"><XXX>X </XXX></span><span class="XX">&XX; -3(x+X)<span class="XXXXX-tab-span"> </span>for x = X</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">(X-3)</span><span class="XX"><XXX>X </sup></span><span class="s1">> -3(X+2)</span></p> <p><span XXXXX="s1">X > -XX</span></p> <p><span class="s1">The XXXXXXXXXX is XXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(d) </span><span XXXXX="s2">X (3-XX)</span><span class="XX"> ≤ XX - 3(x+1)<span class="XXXXX-tab-span"> </span>XXX x = -1</span></p> <p><span XXXXX="XX"><span class="XXXXX-tab-span"> </span>X</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s2">X (X+2)</span><span class="XX"> ≤ -X - 3(X)<span XXXXX="XXXXX-tab-span"> </span>XXX x = -1</span></p> <p><span class="s1"><span class="XXXXX-XXXXXXXXX-XXXXX"> </span>5</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">12/X ≤ -2</span></p> <p><span XXXXX="XX">XXX inequality is XXXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(e) </span><span class="s2">3</span><span XXXXX="s5"><sup>X</XXX></span><span XXXXX="s2"> - X(X) + 9</span><span class="XX"> > </span><span XXXXX="XX">X(X) + X</span></p> <p><span class="XX"><span XXXXX="Apple-tab-span"> </span>X<span class="XXXXX-tab-span"> </span><span XXXXX="XXXXX-converted-XXXXX"> </span>5<span XXXXX="Apple-tab-span"> </span><span class="XXXXX-tab-span"> </span><span XXXXX="XXXXX-tab-span"> </span>for x = X</span></p> <p><span class="s1"></span> </p> <p><span class="s2">9 - 12 + X</span><span class="s1"> > X</span><span class="s2"> + 1</span></p> <p><span class="s1"><span class="XXXXX-XXXXXXXXX-XXXXX"> </span>6<span class="XXXXX-tab-span"> </span><span class="Apple-converted-XXXXX"> </span>X<span class="Apple-tab-span"> </span><span XXXXX="XXXXX-tab-span"> </span><span class="Apple-tab-span"> </span>for x = 3</span></p> <p><span class="XX"></span> </p> <p><span class="s2">6</span><span class="s1"> > </span><span class="s2">XX</span></p> <p><span class="XX">X <span class="XXXXX-XXXXXXXXX-XXXXX"> </span>5<span XXXXX="XXXXX-tab-span"> </span><span class="Apple-tab-span"> </span><span XXXXX="Apple-tab-span"> </span>for x = 3</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">1 > 2 for x = X</span></p> <p><span class="s1"></span> </p> <p><span class="s1">XXX XXXXXXXXXX is false</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">| </span><span XXXXX="XX">-2 (X - x) </span><span class="s1">| ≥ </span><span class="s2">3x - X</span></p> <p><span class="s1"><span class="XXXXX-converted-space"> </span>X<span XXXXX="Apple-tab-span"> </span><span class="Apple-tab-span"> </span>X<span XXXXX="XXXXX-tab-span"> </span><span class="XXXXX-tab-span"> </span>XXX x = -X</span></p> <p><span class="XX"></span> </p> <p><span class="XX">| </span><span class="XX">-2 (5 +X) </span><span XXXXX="XX">| ≥ </span><span class="s2">-X - X</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-converted-space"> </span>3<span class="XXXXX-tab-span"> </span><span class="XXXXX-tab-span"> </span>X<span XXXXX="Apple-tab-span"> </span><span XXXXX="Apple-tab-span"> </span>XXX x = -X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">4 ≥ -2</span></p> <p><span class="XX">XXX XXXXXXXXXX is XXXX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"><b>Applications<span class="Apple-converted-space"></span></b></span></p> <p><span class="s1"><b>3.<span XXXXX="Apple-converted-XXXXX"></span></b></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"><b>x = 12</b></span></p> <p><span XXXXX="XX">X(x + 5) - 1</span><span class="s1"> + X (2x - X)<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>≤ 125</span></p> <p><span class="XX"><span XXXXX="Apple-XXXXXXXXX-space"> </span>2</span></p> <p><span class="XX"></span> </p> <p><span class="XX">3(XX + X) - 1</span><span XXXXX="s1"> + X (2(12) - X)<span class="Apple-converted-space"> </span>≤ 125</span></p> <p><span class="s1"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XX/X + 84 ≤ XXX</span></p> <p><span class="s1">XXX ≤ XXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">The inequality XX XXXX. XXX machine XX safe XX run at XXXXXXXX = 12</span></p> <p><span class="s1"></span> </p> <p><span class="s1"><b>x = 13</b></span></p> <p><span class="s1"></span> </p> <p><span class="s2">X(x + X) - X</span><span XXXXX="XX"> + X (2x - X)<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>≤ XXX</span></p> <p><span class="XX"><span class="Apple-XXXXXXXXX-XXXXX"> </span>2</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">3(13 + X) - X</span><span XXXXX="XX"> + X (2(13) - 3)<span XXXXX="Apple-XXXXXXXXX-space"> </span>≤ XXX</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">53/2 + 92 ≤ XXX</span></p> <p><span XXXXX="XX">118.5 ≤ XXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXX inequality is true. XXX machine is XXXX XX run at pressure = XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"><b>x = XX</b></span></p> <p><span XXXXX="XX">3(x + X) - 1</span><span XXXXX="s1"> + 4 (XX - 3)<span class="Apple-XXXXXXXXX-XXXXX"> </span>≤ XXX</span></p> <p><span class="s1"><span class="XXXXX-XXXXXXXXX-space"> </span>X</span></p> <p><span class="s1"></span> </p> <p><span class="XX">X(14 + 5) - 1</span><span class="XX"> + 4 (X(14) - 3)<span class="XXXXX-converted-space"> </span>≤ XXX</span></p> <p><span class="s1"><span class="Apple-converted-XXXXX"> </span>2</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">28 + 100 ≤ 125</span></p> <p><span XXXXX="s1">128 ≤ XXX</span></p> <p><span class="XX">XXX inequality is false. The XXXXXXX is unsafe to XXX at pressure = XX</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(b) x = X</span></p> <p><span class="s2">3(x + X) - X</span><span class="XX"> + 4 (2x - X)<span class="Apple-converted-space"> </span>> 35</span></p> <p><span XXXXX="s1"><span XXXXX="Apple-XXXXXXXXX-space"> </span>X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">X(X + X) - 1</span><span XXXXX="XX"> + 4 (2(X) - X)<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>&XX; 35</span></p> <p><span class="XX"><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>2</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">XX.5 + XX > XX</span></p> <p><span class="s1">XX.X > 35</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1" <the="" machine="" XXXX="" XXX="" as="" the="" XXXXXXXX="" XX="" above="" 35="" pounds="" XXX="" square="" XXXX.="">span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></p> <p><span class="s1"></span> </p> <p><span class="s1">Reasoning</span></p> <p><span XXXXX="XX">X. (a) 4(-X) + X &XX; 1 - 3(-2)</span></p> <p><span class="XX"><span class="XXXXX-tab-span"> </span>-X < 7</span></p> <p><span XXXXX="XX" <XXX="" XXXXXXX="" XXXX="" XX="" <="">span class="XXXXX-converted-XXXXX"&XX;</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(b) (2x + 1)/ (-X) &XX; 4 / (2-3x)</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(2(-2) + X)/ (-X) > 4 / (X-3(-2))</span></p> <p><span class="XX">X &XX; X/X</span></p> <p><span XXXXX="s1">X &XX; 1/2</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">The XXXXXXX XXXX is ></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">(c) XX</span><span XXXXX="s4"><sup>2 </XXX></span><span class="XX">+X &XX; |1 - XX|</span></p> <p><span class="XX">2(4)</span><span class="XX"><XXX>2 </XXX></span><span XXXXX="s1">+X > |X - 9(4)|</span></p> <p><span class="s1">37 &XX; 35</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">The correct XXXX is &XX;</span></p> <p><span class="XX"></span> </p> <p><span class="s1">(d) ((X(2x - X)) / 3) + X <span class="Apple-tab-span"> </span>&XX; 8(3(x) - X)</span></p> <p><span XXXXX="XX">((3(2(5) - 5)) / 3) + 2 <span XXXXX="Apple-tab-span"> </span>< 8(X(5) - 6)</span></p> <p><span class="XX">7 < XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">The XXXXXXX sign XX &XX;</span></p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1">468CCAlg1U2L1EquationsandTheirSolutions</span></p> <p><span class="s1">XXXXXXXXX XXX THEIR XXXXXXXXX XXXXXX CORE XXXXXXX I</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXXXXXXX #X</span></p> <p><span class="XX">(3) 2(XX + 1)<span class="Apple-XXXXXXXXX-XXXXX"> </span>is not an XXXXXXXX.</span></p> <p><span class="XX">The other XXXXX options are XXXXXXXXX XX XXXX are in XXX equation XXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">XXXXXXXX #2</span></p> <p><span XXXXX="XX">(a) We cannot determine whether 2x - 8 = 10 - x XX true or XXXXX as XX XX not XXXX XXX XXXXX of XXX unknowns, and hence XX do not XXXX if XXX XXXXXXXX holds.</span></p> <p><span class="XX"></span> </p> <p><span class="s1">(b) XX x = X, the XXXXXXXX evaluates XX XX - X = 10 - X &XX;>&XX; X = 5. XXX XXXXXXXX will XX XXXXX.</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">(c) XX - 8 = 10 - x</span></p> <p><span class="s1">2(6) - 8 = XX - 6</span></p> <p><span XXXXX="XX">4 = 4</span></p> <p><span XXXXX="s1" <XXX="" XXXXXXXX="" XX="" true="" as="" XXXX="" sides="" hold.="">span XXXXX="XXXXX-XXXXXXXXX-XXXXX"&XX;</span></p> <p><span class="s1"></span> </p> <p><span class="s1">Exercise #X</span></p> <p><span XXXXX="s1">(a)<span class="XXXXX-converted-XXXXX"> </span>2x + 3 = 17</span></p> <p><span class="XX">X(X) + X = XX</span></p> <p><span class="XX">17 = 17</span></p> <p><span class="s1">XXX XXXXXXXX is XXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">(b) </span><span class="XX">(x - XX)</span><span class="s1"> = -4</span></p> <p><span XXXXX="XX"><span XXXXX="Apple-XXXXXXXXX-space"> </span>X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s2">(10 - XX)</span><span class="XX"> = -4</span></p> <p><span class="XX"><span class="Apple-XXXXXXXXX-XXXXX"> </span>X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">(-XX)</span><span class="XX"> = -X</span></p> <p><span XXXXX="s1"><span class="Apple-converted-XXXXX"> </span>5</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">-2 = -X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XXX equation XX false</span></p> <p><span class="XX"></span> </p> <p><span class="XX">(c) X (x+X) = 6 (x - 1)<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span class="XX">2 (4 + X) = X ( X - X)</span></p> <p><span XXXXX="XX">18 = XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXX equation is XXXX</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">(d)<span class="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="XX">x</span><span class="XX"><sup>X </XXX></span><span XXXXX="s1">-1</span><span XXXXX="XX"> </span><span XXXXX="XX">= 2x + X</span></p> <p><span class="s1">(-1)</span><span class="s4"><XXX>2 </sup></span><span class="XX">-X</span><span XXXXX="XX"> </span><span class="s1">= 2(-X) + 2</span></p> <p><span XXXXX="s1">1 -1 = 2 - 2</span></p> <p><span class="XX">0 = X</span></p> <p><span XXXXX="XX">The XXXXXXXX XX true</span></p> <p><span class="s1"></span> </p> <p><span class="s1">(e) </span><span XXXXX="s2">X (x + X)</span><span class="XX"> - 1 = X</span></p> <p><span XXXXX="XX"><span XXXXX="XXXXX-tab-span"> </span>4</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">X ((2) + X)</span><span class="XX"> - 1 = 5</span></p> <p><span XXXXX="XX"><span class="Apple-converted-XXXXX"> </span>X</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="XX">12 - 4 = 20</span></p> <p><span class="XX">8 = 20</span></p> <p><span class="XX">XXX equation XX false</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(f) 3/X x - 1 = -1/X x + X</span></p> <p><span class="XX">3/4 (X) - 1 = -1/2 (X) + 9</span></p> <p><span class="s1">6 - X = X - 4</span></p> <p><span class="s1">X = X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">The XXXXXXXX XX XXXX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">Exercise #4</span></p> <p><span XXXXX="XX">XX - X = X x + 11</span></p> <p><span XXXXX="s1">4(X) - 3 = 2(X) + XX</span></p> <p><span class="s1">XX = XX</span></p> <p><span XXXXX="s1">XX is XXXXXXX XX a solution.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">Kirk’s error was to complete XXX operations X-3 XXX X + XX before XXX XXXXXXXXXX 4(7) and X(X).</span></p> <p><span XXXXX="s1">XXXXXXXXXXXXXX XXXXXX XXXXXX XXXX before addition XXX XXXXXXXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span class="s1">XXXXXXX</span></p> <p><span XXXXX="XX">X. (a) Expression (b) XXXXXXXX (c) Equation (d) Expression (e) Expression (f) XXXXXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">X. (a) x - 4 = 12<span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">8 - 4 = 12<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span class="XX">4 = XX</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">(b) (3+x) / X = 3</span></p> <p><span class="s1">(3+X) / 4 = X</span></p> <p><span XXXXX="XX">XX/4 = X</span></p> <p><span XXXXX="s1">XXX XXXXXXXX is XXXX. The XXXXXXXX is valid for XXX XXXXX XXXXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(c) (x + 2) - 3(x-X) = 6</span></p> <p><span XXXXX="XX">(4 + X) - X(X-X) = 6</span></p> <p><span XXXXX="XX">X - X(0) = 6</span></p> <p><span class="XX">6 = X</span></p> <p><span class="s1">The XXXXXXXX is true. XXX solution is XXXXX XXX the XXXXX XXXXXXXX.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(d) X/X (x+X) = - 2/5 (x-X)</span></p> <p><span XXXXX="s1">1/X (4+X) = - X/X (4-9)</span></p> <p><span XXXXX="XX">X = X</span></p> <p><span class="s1"></span> </p> <p><span class="s1">XXX equation is XXXX. XXX solution XX valid for the given equation.</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXXXXXXXXX</span></p> <p><span XXXXX="XX">X.<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX">Day 1: P = X(X) + 5 = 11</span></p> <p><span class="s1">XXX 2: P = X(2) + X = XX</span></p> <p><span class="s1">Day 3: P = 6(X) + X = 23</span></p> <p><span XXXXX="s1">Day 4: P = 6(X) + 5 = XX</span></p> <p><span XXXXX="s1">Day X: X = 6(X) + 5 = XX</span></p> <p><span XXXXX="s1">XXX 6: X = X(6) + X = XX</span></p> <p><span XXXXX="s1">Day X: X = X(7) + X = 47</span></p> <p><span class="s1">XXX X: X = 6(8) + X = XX</span></p> <p><span class="s1">We will observe Stage X XX XXX 1, Stage 2 on Day 2 XX X, XXXXX 3 XXX Day 4 XX 7, XXX XXXXXXXXX XXXXX XX Day X.<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XXXXXXXXX</span></p> <p><span class="s1">4. XXX + 30 = 250</span></p> <p><span XXXXX="s1">(a) Savings XXXXX 9 weeks = 25 (X) + XX = XXX</span></p> <p><span XXXXX="XX">Yes, bobby will have enough as 255 > 250</span></p> <p><span class="s1">(b) XXX + 30 + 10w = XXX + XXX</span></p> <p><span class="XX">After X XXXXX XX XXXXXX = XX(X) + XX + XX(9) = 345</span></p> <p><span class="XX">Bobby XXXXX XXX + XXX = 350</span></p> <p><span XXXXX="XX">XXXX weeks XX not enough time for XXXXX to XXXX as XXX &XX; 350</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX</span></p> <p><span class="XX">XXXXXXX LINEAR INEQUALITIES XXXXXX CORE XXXXXXX I</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXXXXX #X</span></p> <p><span class="XX">(a) XXX XXX XXXXXXXXXX XX X < XX. This is a true inequality.</span></p> <p><span class="s1">(b) XXX XXX XXXXXXXXXX XX X < 4. XXXX is a XXXX XXXXXXXXXX.</span></p> <p><span class="s1">(c) The XXX XXXXXXXXXX is 8 &XX; XX. XXXX XX a XXXX inequality.</span></p> <p><span class="s1">(d) XXX XXX inequality is X < 4. XXXX XX a XXXX XXXXXXXXXX.</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXXXXX #X</span></p> <p><span class="s1">(a) The new XXXXXXXXXX XX -X &XX; -16. XXXX XX a false XXXXXXXXXX.</span></p> <p><span class="XX">(a) XXX XXX inequality is -2 &XX; -4. This is a XXXXX inequality.</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXXXX #3</span></p> <p><span class="s1">(a) The XXXXXXXXXX is 5 < 8. When XXXXXXXXXX by -4, it becomes -XX &XX; -32. This XXXXXXX false.<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XXXXXXXX #4</span></p> <p><span XXXXX="XX">(a) 4x - X ≥ 5</span></p> <p><span class="XX">XX ≥ 8</span></p> <p><span XXXXX="s1">x ≥ X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(b) / (c)</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXX five XXXXXXX are 3, X, X, 6, X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">The XXXXXXXX is indicated XX the XXXXX >&XX;>&XX;>>&XX;>&XX;</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"><span XXXXX="Apple-tab-span"> </span><span XXXXX="XXXXX-tab-span"> </span><span XXXXX="Apple-tab-span"> </span><span XXXXX="XXXXX-tab-span"> </span><span class="XXXXX-tab-span"> </span><span class="Apple-tab-span"> </span> <span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>&XX;>>>&XX;&XX;&XX;>>>&XX;>&XX;>&XX;&XX;&XX;&XX;&XX;&XX;&XX;>&XX;>&XX;&XX;>>&XX;>&XX;&XX;</span></p> <p><span XXXXX="s1">-XX<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-X<span class="Apple-converted-XXXXX"> </span>-8 <span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-7<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-6 <span class="Apple-converted-XXXXX"> </span>-X <span class="XXXXX-converted-XXXXX"> </span>-4<span XXXXX="XXXXX-converted-XXXXX"> </span>-3 <span class="XXXXX-converted-XXXXX"> </span>-2 <span class="XXXXX-converted-space"> </span>-1<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>0<span class="Apple-converted-space"> </span>X <span class="XXXXX-converted-space"> </span>X <span class="Apple-XXXXXXXXX-space"> </span>3<span class="XXXXX-converted-space"> </span>4<span class="XXXXX-converted-space"> </span>X<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X<span class="Apple-XXXXXXXXX-XXXXX"> </span>7<span class="Apple-XXXXXXXXX-space"> </span>8<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span class="Apple-converted-XXXXX"> </span>XX</span></p> <p><span XXXXX="s1">|XXXX|____|____|XXXX|____|XXXX|XXXX|XXXX|____|XXXX|XXXX|XXXX|XXXX|____|XXXX|XXXX|XXXX|____|XXXX|XXXX|</span></p> <p><span class="XX"></span> </p> <p><span class="s1">XXXXXXXX #X<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">(a) Rewrite XXX XXXX hand XXXXXXXXXX XX an equivalent XXXXXXXXXX XXXXX addition.</span></p> <p><span class="XX">X - XX &XX; XX</span></p> <p><span class="XX">8 - XX &XX; XX</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">(b) XXXXX XXX inequality</span></p> <p><span class="XX">8 - XX &XX; 16</span></p> <p><span XXXXX="s1">X - XX > XX</span></p> <p><span class="XX">-8 &XX; 2x</span></p> <p><span class="s1">-4 > x</span></p> <p><span class="XX">x &XX; -X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">(c) XXX x = -6</span></p> <p><span class="s1">As -6 &XX; -4, XXX XXXXXXXX inequality XX true</span></p> <p><span class="XX"></span> </p> <p><span class="s1">(d)<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1">XXX XXXXXXXX XX indicated by XXX range >>&XX;>>&XX;>&XX;></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">&XX;&XX;&XX;&XX;<&XX;&XX;<<&XX;&XX;&XX;<<<<&XX;<<&XX;<&XX;<</span></p> <p><span XXXXX="XX">-XX<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>-X<span class="XXXXX-converted-XXXXX"> </span>-X <span XXXXX="Apple-converted-space"> </span>-7<span class="Apple-converted-XXXXX"> </span>-6 <span class="Apple-converted-XXXXX"> </span>-X <span class="XXXXX-converted-XXXXX"> </span>-4<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>-3 <span XXXXX="Apple-XXXXXXXXX-space"> </span>-2 <span XXXXX="Apple-converted-space"> </span>-1<span XXXXX="Apple-converted-XXXXX"> </span>0<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>1 <span XXXXX="XXXXX-XXXXXXXXX-space"> </span>2 <span class="Apple-XXXXXXXXX-XXXXX"> </span>X<span class="Apple-XXXXXXXXX-space"> </span>4<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X<span XXXXX="XXXXX-converted-XXXXX"> </span>6<span class="XXXXX-converted-XXXXX"> </span>X<span XXXXX="XXXXX-converted-XXXXX"> </span>X<span class="XXXXX-converted-XXXXX"> </span>X<span class="XXXXX-XXXXXXXXX-space"> </span>XX</span></p> <p><span class="s1">|XXXX|____|XXXX|____|____|____|____|XXXX|____|XXXX|____|XXXX|____|____|XXXX|____|____|XXXX|XXXX|XXXX|</span></p> <p><span class="XX"></span> </p> <p><span class="XX">Exercise #6<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="XX">(a)</span></p> <p><span class="s1">8 (x-2) - 3 (2x + 1) ≤ 7x + 4 - X(x+X)</span></p> <p><span class="XX">XX - XX - XX - 3 ≤ XX + X - 3x - 3</span></p> <p><span XXXXX="s1">XX - 19 ≤ 4x + 1</span></p> <p><span class="XX">-2x ≤ 20</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">(b)<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span class="s1"></span> </p> <p><span class="s1">X (x-X) - 3 (2x + X) ≤ 7x + 4 - 3(x+X)</span></p> <p><span XXXXX="s1">8x - XX - 6x - X ≤ 7x + 4 - 3x - 3</span></p> <p><span class="s1">2x - 19 ≤ XX + 1</span></p> <p><span XXXXX="XX">-2x ≤ XX</span></p> <p><span XXXXX="XX">-x ≤ 10</span></p> <p><span class="s1">x ≥ -10</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"><span class="XXXXX-tab-span"> </span><span XXXXX="Apple-tab-span"> </span><span XXXXX="Apple-tab-span"> </span> <span XXXXX="Apple-XXXXXXXXX-space"> </span>X&XX;>&XX;>>>&XX;&XX;&XX;>&XX;&XX;&XX;>&XX;>&XX;>&XX;&XX;>&XX;&XX;&XX;&XX;&XX;&XX;&XX;>></span></p> <p><span class="XX">-XX -15 -XX- <span XXXXX="Apple-converted-XXXXX"> </span>XX -XX<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>-XX <span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>-10<span XXXXX="XXXXX-converted-XXXXX"> </span>-9<span XXXXX="Apple-XXXXXXXXX-space"> </span>-8 <span class="XXXXX-XXXXXXXXX-XXXXX"> </span>-7<span XXXXX="Apple-XXXXXXXXX-space"> </span>-X <span class="XXXXX-XXXXXXXXX-XXXXX"> </span>-X <span class="Apple-converted-space"> </span>-X<span class="Apple-XXXXXXXXX-space"> </span>-3 <span XXXXX="Apple-XXXXXXXXX-space"> </span>-2 <span class="XXXXX-converted-XXXXX"> </span>-1<span class="Apple-XXXXXXXXX-space"> </span>0</span></p> <p><span XXXXX="s1">|XXXX|____|XXXX|XXXX|XXXX|XXXX|XXXX|XXXX|____|____||XXXX|XXXX|XXXX|XXXX|____|____|</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">(a)<span class="XXXXX-converted-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">XX - 6 ≤ 24</span></p> <p><span XXXXX="XX">5x ≤ 30</span></p> <p><span class="XX">x ≤ 6</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">The XXXXXXXX XX indicated XX XXX XXXXX >&XX;&XX;>&XX;>>>&XX;</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"><<&XX;<&XX;&XX;&XX;&XX;&XX;<<<<<&XX;&XX;&XX;&XX;<&XX;&XX;&XX;<&XX;<&XX;&XX;&XX;&XX;&XX;<<&XX;<&XX;<<<&XX;&XX;<&XX;<&XX;&XX;&XX;&XX;<&XX;<<&XX;&XX;<&XX;<&XX;<X</span></p> <p><span XXXXX="XX">-10<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>-X<span XXXXX="Apple-converted-space"> </span>-8 <span class="XXXXX-converted-XXXXX"> </span>-X<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-X <span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-5 <span class="XXXXX-converted-XXXXX"> </span>-X<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-X <span class="XXXXX-XXXXXXXXX-XXXXX"> </span>-2 <span XXXXX="XXXXX-converted-XXXXX"> </span>-X<span class="XXXXX-converted-XXXXX"> </span>X<span XXXXX="Apple-XXXXXXXXX-space"> </span>1 <span XXXXX="Apple-XXXXXXXXX-space"> </span>2 <span class="Apple-converted-XXXXX"> </span>3<span class="Apple-converted-space"> </span>4<span class="XXXXX-converted-space"> </span>X<span class="Apple-XXXXXXXXX-XXXXX"> </span>6<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span class="Apple-XXXXXXXXX-XXXXX"> </span>8<span class="Apple-converted-space"> </span>X<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>10</span></p> <p><span class="XX">|____|XXXX|____|XXXX|XXXX|XXXX|XXXX|XXXX|____|____|XXXX|XXXX|XXXX|XXXX|____|____|____|____|____|XXXX|</span></p> <p><span class="s1"></span> </p> <p><span class="XX">(b)</span></p> <p><span class="XX"></span> </p> <p><span class="XX">2(X-x) ≤ XX</span></p> <p><span XXXXX="XX">XX - 2x ≤ 12</span></p> <p><span class="s1">XX - XX ≤ 2x</span></p> <p><span class="XX">-X ≤ 2x</span></p> <p><span class="s1">-1 ≤ x</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">The XXXXXXXX is XXXXXXXXX XX the XXXXX &XX;>>>&XX;>&XX;>></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"><&XX;<&XX;<<<&XX;&XX;<&XX;&XX;<&XX;<&XX;<&XX;&XX;<<<&XX;<&XX;<<&XX;<&XX;<<<X</span></p> <p><span XXXXX="s1">-XX<span class="Apple-converted-space"> </span>-9<span XXXXX="Apple-converted-space"> </span>-8 <span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>-7<span class="Apple-XXXXXXXXX-XXXXX"> </span>-6 <span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-5 <span class="Apple-converted-space"> </span>-4<span class="Apple-XXXXXXXXX-XXXXX"> </span>-3 <span XXXXX="XXXXX-converted-XXXXX"> </span>-X <span class="Apple-XXXXXXXXX-XXXXX"> </span>-1<span class="XXXXX-converted-space"> </span>X<span class="Apple-converted-XXXXX"> </span>X <span XXXXX="XXXXX-converted-space"> </span>2 <span class="Apple-XXXXXXXXX-space"> </span>X<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X<span class="Apple-converted-space"> </span>X<span XXXXX="Apple-converted-XXXXX"> </span>X<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>8<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>9<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>XX</span></p> <p><span class="s1">|____|XXXX|____|XXXX|XXXX|XXXX|____|XXXX|____|____|XXXX|XXXX|____|____|XXXX|XXXX|XXXX|XXXX|XXXX|____|</span></p> <p><span class="XX"></span> </p> <p><span class="s1">(c)</span></p> <p><span XXXXX="s1">X - 4x &XX; XX</span></p> <p><span class="XX">-XX > XX</span></p> <p><span XXXXX="s1">x < XX/-X</span></p> <p><span class="XX">x &XX; -X</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">XXX XXXXXXXX XX indicated by the XXXXX >&XX;>>>&XX;&XX;>></span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1">&XX;&XX;<<&XX;<<<<&XX;&XX;&XX;<&XX;&XX;<&XX;&XX;<&XX;&XX;<<&XX;&XX;&XX;&XX;</span></p> <p><span class="XX">-XX<span XXXXX="XXXXX-converted-space"> </span>-X<span XXXXX="Apple-XXXXXXXXX-space"> </span>-X <span class="XXXXX-converted-XXXXX"> </span>-X<span XXXXX="XXXXX-converted-XXXXX"> </span>-6 <span XXXXX="XXXXX-converted-XXXXX"> </span>-5 <span class="XXXXX-converted-space"> </span>-4<span XXXXX="Apple-converted-XXXXX"> </span>-X <span XXXXX="XXXXX-converted-space"> </span>-2 <span XXXXX="XXXXX-converted-XXXXX"> </span>-1<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>0<span class="XXXXX-XXXXXXXXX-space"> </span>1 <span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>2 <span XXXXX="XXXXX-XXXXXXXXX-space"> </span>X<span class="XXXXX-XXXXXXXXX-space"> </span>4<span XXXXX="XXXXX-converted-XXXXX"> </span>5<span class="Apple-XXXXXXXXX-XXXXX"> </span>6<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span XXXXX="Apple-converted-space"> </span>X<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>X<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>XX</span></p> <p><span XXXXX="XX">|____|XXXX|XXXX|____|XXXX|XXXX|____|XXXX|____|XXXX|____|____|____|XXXX|XXXX|XXXX|____|XXXX|____|XXXX|</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="s1">(d)</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">8x - 6(x-2) > XX - XX</span></p> <p><span XXXXX="s1">8x - XX + XX &XX; XX - XX</span></p> <p><span XXXXX="s1">XX + XX &XX; XX - XX</span></p> <p><span XXXXX="s1">4x &XX; 20 - 12</span></p> <p><span class="XX">XX > X</span></p> <p><span class="XX">x > X</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"><span class="Apple-XXXXXXXXX-XXXXX"> </span>&XX;&XX;>&XX;>>&XX;>>&XX;&XX;&XX;>&XX;&XX;&XX;>&XX;>&XX;>&XX;&XX;>>></span></p> <p><span XXXXX="XX">-XX<span class="Apple-converted-XXXXX"> </span>-9<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>-X <span class="Apple-converted-XXXXX"> </span>-X<span XXXXX="Apple-XXXXXXXXX-space"> </span>-X <span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>-X <span class="XXXXX-converted-XXXXX"> </span>-X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>-3 <span class="XXXXX-XXXXXXXXX-XXXXX"> </span>-2 <span class="XXXXX-XXXXXXXXX-XXXXX"> </span>-X<span XXXXX="Apple-XXXXXXXXX-space"> </span>X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X <span class="Apple-XXXXXXXXX-space"> </span>X <span class="XXXXX-converted-space"> </span>X<span class="Apple-converted-space"> </span>X<span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>5<span class="Apple-converted-XXXXX"> </span>6<span class="Apple-XXXXXXXXX-XXXXX"> </span>X<span class="Apple-XXXXXXXXX-XXXXX"> </span>8<span class="Apple-converted-space"> </span>9<span class="Apple-converted-XXXXX"> </span>XX</span></p> <p><span class="s1">|____|XXXX|____|XXXX|____|XXXX|XXXX|XXXX|XXXX|XXXX|____|____|XXXX|____|____|XXXX|____|____|____|XXXX|</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">(e)</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">X (2x + X)</span><span class="XX"> &XX; </span><span class="s2">X </span><span class="s1">x + 2</span></p> <p><span class="XX"><span XXXXX="Apple-XXXXXXXXX-XXXXX"> </span>6 <span XXXXX="XXXXX-converted-XXXXX"> </span>3</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">3 (2x + X) > 2x + XX</span></p> <p><span XXXXX="XX">6x + 6 &XX; XX + 12</span></p> <p><span XXXXX="XX">XX &XX; X</span></p> <p><span class="XX">x &XX; X.X</span></p> <p><span class="XX"></span> </p> <p><span class="s1"><span class="Apple-XXXXXXXXX-XXXXX"> </span>>>>&XX;>&XX;&XX;>&XX;&XX;&XX;>>>>&XX;&XX;>>&XX;&XX;&XX;&XX;>>&XX;></span></p> <p><span XXXXX="XX">-10<span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-X<span XXXXX="XXXXX-converted-space"> </span>-8 <span XXXXX="XXXXX-converted-XXXXX"> </span>-X<span class="Apple-XXXXXXXXX-space"> </span>-X <span XXXXX="XXXXX-XXXXXXXXX-space"> </span>-5 <span class="XXXXX-converted-space"> </span>-4<span class="XXXXX-converted-XXXXX"> </span>-3 <span class="XXXXX-converted-XXXXX"> </span>-X <span XXXXX="XXXXX-converted-XXXXX"> </span>-1<span class="Apple-converted-space"> </span>0<span class="XXXXX-XXXXXXXXX-XXXXX"> </span>1 <span class="Apple-converted-XXXXX"> </span>2 <span class="Apple-converted-space"> </span>X<span XXXXX="XXXXX-converted-space"> </span>X<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>X<span class="Apple-XXXXXXXXX-XXXXX"> </span>6<span class="XXXXX-converted-XXXXX"> </span>X<span XXXXX="Apple-converted-space"> </span>X<span XXXXX="Apple-converted-space"> </span>X<span class="XXXXX-XXXXXXXXX-space"> </span>10</span></p> <p><span class="s1">|XXXX|XXXX|____|____|XXXX|XXXX|____|XXXX|XXXX|XXXX|XXXX|XXXX|____|____|____|____|XXXX|XXXX|XXXX|XXXX|</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXXXXXXXXXXX</span></p> <p><span XXXXX="XX">2. (a)<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="s1">Edwin XXXX pay XX + 5.25n</span></p> <p><span XXXXX="XX">Edwin XXXX pay XXXX than XXXX if:</span></p> <p><span XXXXX="XX">XX + 5.25n &XX; XXX</span></p> <p><span class="XX">XXXXXXX XXX XXXXXXXXXX:</span></p> <p><span class="s1">5.25n &XX; XXX - XX</span></p> <p><span class="XX">X.25n > 63</span></p> <p><span XXXXX="XX">n > 12</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">(b)<span class="Apple-converted-space"></span></span></p> <p><span XXXXX="XX">Edwin can XXXX XX XXXXX XXX XXXXX pay XXXX than XXXX. XXXX is because XX XXXX XXXX XXXX XXXXX, XXX XX or XXXXX will lead XXXXX to pay XXXX than Rhea.</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="XX">Reasoning</span></p> <p><span class="s1">X. (a) XX + b ≥ XX</span></p> <p><span XXXXX="s1">ax ≥ cd - b</span></p> <p><span class="XX">x ≥ (XX - b) / a</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">(b)<span class="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="s2">a (x + 2) </span><span class="s1">> c</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>b <span class="Apple-converted-space"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XX + XX &XX; XX</span></p> <p><span XXXXX="s1">x &XX; </span><span class="s2">XX - 2a<span class="Apple-XXXXXXXXX-space"></span></span></p> <p><span class="s1"><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>a<span class="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1">4. XXX correct XXXXXX XX (X)<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX">XX + b > d</span></p> <p><span class="XX">x &XX; (d - b) /a</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">≥ ≤</span></p> <p><span class="s1"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX">97150</span></p> <p><span class="XX">XXXXXXXX 4: XXXXXX Day Totalitarianism/XXXXXXXXXXXX: X XXXXX of XXXXX Korea<span class="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="XX">What XXXXXXXXXX context XXX you provide XX XXX North Korean Government that is XXXXXXXXXX with XXX enduring XXXXX you XXXXX?</span></p> <p><span XXXXX="XX"></span> </p> <p><span class="s1" <XXX="" XXXXXXXX="" XXXXX="" that="" XXXX="" interests="" XX="" XX="" XXX="" of="" human="" rights.="" XXXXXXXXX="" XX="" XX,="" XXXXXX="" XXX="" XXXXXX="" XXX="" people,="" XXXXXXXXXX="" their="" gender,="" nation="" origin,="" XXXXXX="" identity,="" XXXXXXXXXX="" background,="" faith="" or="" other="" demographic="" XXXXXXXXXXX.="" these="" include="" XXXXX="" life="" XXX="" XXXXXXX,="" XXXXXXX="" XXXX="" XXXXXXX="" XXXXXXXXXXX,="" express="" XXXXX,="" XXXXX="" XXXX="" for="" a="" XXXX="" wage,="" so="" XX.="" north="" korea’s="" historical="" context="" XXXX,="" XXX="" record="" dismal.="" XXXXXXX,="" XXXX="" un="" XXXXXXXXXX="" XXXXXXX="" XXXXX="" XXXXXXXXXX="" committed="" gross,="" XXXXXXXXXX="" XXXXXXXXXX="" abuses,="" including="" extermination,="" XXXXXXX,="" rape="" XXXXXXXXXXXX.="">span class="Apple-XXXXXXXXX-space"></span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">XXXXX Korea was formed out XX XXX XXXXXXXXXX XXXXXXXXXX XX Kim XX-Sung, a XXXX-war XXXXXXXXXXX communist XXX suspended the civil XXXXXXXXX XX XXX XXXXX Korean XXXXXX in order XX deal with national XXXXXXXXXXX XXXX XX the XXXXXX XXX. XXXXXXXXXXX, XXX Il-XXXX XXX his descendants XXXX XXXXXXXXX XX consolidate power in a XXX XXXX curtails XXXXX XXXXXX in XXXXX Korea. XXXX XXXX XXXXXXX a regime where XXXX speech is XXXXXXXXXX, and where judicial penalties XXXXXXXXX XXXXX human XXXXXX. XXXXX include the use XX torture, XXXXXX labor and XXXXXXXXXXXXX in XXXXXXXX XXXXXXXXXX. There XX XXXX no XXXXXXXXXXX due process within XXX judicial system. The lack of XXXXX XXXXXX in XXXXX XXXXX is a result XX decades of consolidation XX XXX North Korean XXXXXXXXX XXXXXXXXXXXX, in a bid XX XXXXXXXX their XXXX XXXX XX power XXXX XXX XXXXXXX.<span XXXXX="Apple-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">XXX XXXX the XXXXX of XXXXX/XXXXX rights in the XXXXXXXXXX XX North XXXXX XXXXXX XXXXXX?</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1" <the="" XXXXX="" XXXXXX="" XXXXXX="" XXX="" XXXXXXXX="" in="" three="" XXXX="" ways:="" famine,="" XXXXXXXX="" imprisonment="" and="" forced="" labor.="" XXXXXXXX,="" XXXXXXX="" XXXXXXXXXXXXX="" XX="" the="" economy="" has="" led="" XX="" XXXXXXXXXX="" XXXXXXXX="" famines="" XXXX="" their="" XXXXXXXX.="" XXXX="" XXXXXXXX="" them="" XXXXXXX="" work="" XXXX.="" furthermore,="" koreans="" XXXXXX="" XXXXXX="" free="" media="" such="" XX="" new="" XXXX="" XXXXX,="" which="" XXXXXX="" right="" XXXXXX.="" XXXX="" XXX="" move,="" with="" movement="" XXXXXXX="" XXXXXX="" restrictive="" sites="" through="" border="" controls="" XXXXXXXX="" XXXXXXXXXXX.="" finally,="" political="" prisoners="" XXXXXXXXX="" have="" XXXXX="" XXXXXX="" XXXXXXXX="" XXXXX,="" XXXXXXX,="" XXXXX="" conditions.="" noted="" passage,="" XXXXX="" operates="" XXXXXXXXX="" prison="" camps="" XXXXX="" XXXXXXXXX="" opponents="" government="" sent="" face="" starvation="" rations="">span XXXXX="XXXXX-XXXXXXXXX-XXXXX"&XX;</span></p> <p><span XXXXX="XX">XXXXX</span></p> <p><span XXXXX="s1">Regular XXXXXXXXX</span></p> <p><span XXXXX="XX">XX. x - X = X</span></p> <p><span class="XX">x = 8 + X</span></p> <p><span XXXXX="XX">x = 15</span></p> <p><span class="s1"></span> </p> <p><span class="s1">1b. x - b = a</span></p> <p><span class="s1">x = a + b</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">2a.<span class="XXXXX-converted-XXXXX"> </span>4x = -XX</span></p> <p><span class="s1">x = -X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">XX. -3k = m</span></p> <p><span XXXXX="s1">k = m/(-X)<span class="Apple-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">X = </span><span class="s2">-X <span XXXXX="Apple-converted-XXXXX"></span></span><span class="XX"> m</span></p> <p><span XXXXX="s1"><span class="Apple-converted-XXXXX"> </span>X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1">XX. 2x - 5 = XX</span></p> <p><span XXXXX="XX"><span class="Apple-converted-XXXXX"> </span>x = (11 + 5)/X = X</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">3b. 2b - X = d</span></p> <p><span class="XX"><span XXXXX="Apple-XXXXXXXXX-space"> </span>b = (d + 9) / X</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">4a. X/2<span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>(XX) = -XX</span></p> <p><span XXXXX="s1"><span XXXXX="XXXXX-XXXXXXXXX-space"> </span>XX = -40</span></p> <p><span class="s1"><span class="XXXXX-XXXXXXXXX-XXXXX"> </span>x = -XX</span></p> <p><span class="s1"></span> </p> <p><span class="s1">XX. XXX = XX</span></p> <p><span XXXXX="XX"><span XXXXX="Apple-XXXXXXXXX-space"> </span>g = 10 / ae</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XX. x / -X = XX</span></p> <p><span class="XX"><span XXXXX="XXXXX-converted-XXXXX"> </span>x = - 88</span></p> <p><span class="s1"></span></p> <p><span XXXXX="s1">XX. y/3 = h</span></p> <p><span class="XX"><span class="Apple-XXXXXXXXX-XXXXX"> </span>y = XX<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">XXXXX</span></p> <p><span class="XX">Document X: XXXXXX Day XXXXXXXXXXXXXXX/XXXXXXXXXXXX: X XXXXX XX North XXXXX<span XXXXX="XXXXX-converted-space"></span></span></p> <p><span class="s1">What historical XXXXXXX XXX you XXXXXXX on XXX XXXXX Korean XXXXXXXXXX that is XXXXXXXXXX with XXX XXXXXXXX issue you chose?</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1" <the="" XXXXXXXX="" XXXXX="" that="" XXXX="" interests="" XX="" is="" the="" of="" human="" XXXXXX.="" according="" XX="" XX,="" XXXXXX="" are="" XXXXXX="" all="" people,="" regardless="" their="" gender,="" nation="" XXXXXX,="" XXXXXX="" identity,="" linguistic="" background,="" faith="" or="" other="" XXXXXXXXXXX="" XXXXXXXXXXX.="" XXXXX="" include="" XXXXX="" life="" and="" XXXXXXX,="" freedom="" from="" XXXXXXX="" enslavement,="" XXXXXXX="" XXXXX,="" XXXXX="" work="" XXX="" a="" fair="" wage,="" so="" XX.="" XXXXX="" XXXXX’s="" XXXXXXXXXX="" context="" XXXX,="" XXX="" XXXXXX="" dismal.="" passage,="" XXXX="" XX="" XXXXXXXXXX="" XXXXXXX="" XXXXX="" XXXXXXXXXX="" XXXXXXXXX="" XXXXX,="" XXXXXXXXXX="" XXXXXXXXXX="" abuses,="" including="" extermination,="" XXXXXXX,="" XXXX="" imprisonment.="">span class="XXXXX-converted-space"></span></p> <p><span class="s1"></span> </p> <p><span class="s1">XXXXX Korea was formed out XX the repressive government of XXX XX-XXXX, a post-war nationalist XXXXXXXXX XXX XXXXXXXXX the XXXXX liberties XX the XXXXX XXXXXX people in order to XXXX with XXXXXXXX emergencies such as the Korean War. XXXXXXXXXXX, Kim Il-XXXX XXX his XXXXXXXXXXX have XXXXXXXXX to consolidate XXXXX in a way that curtails human rights in North Korea. XXXX XXXX XXXXXXX a XXXXXX where free speech XX disallowed, and where judicial XXXXXXXXX routinely XXXXX XXXXX XXXXXX. XXXXX XXXXXXX XXX use of torture, forced labor and XXXXXXXXXXXXX in XXXXXXXX conditions. There is XXXX no independent due process XXXXXX XXX XXXXXXXX system. The lack XX XXXXX rights in XXXXX XXXXX XX a result XX XXXXXXX of XXXXXXXXXXXXX XX XXX North Korean XXXXXXXXX dictatorship, in a XXX XX continue their firm grip on power over XXX XXXXXXX.<span class="XXXXX-XXXXXXXXX-XXXXX"></span></span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">How XXXX the issue of power/human XXXXXX in the government of XXXXX Korea affect people?</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX" <the="" north="" XXXXXX="" people="" XXX="" affected="" in="" three="" main="" ways:="" XXXXXX,="" inhumane="" XXXXXXXXXXXX="" XXX="" XXXXXX="" XXXXX.="" foremost,="" chronic="" XXXXXXXXXXXXX="" XX="" the="" XXXXXXX="" XXX="" XXX="" XX="" XXXXXXXXXX="" multiple="" XXXXXXX="" over="" XXXXX="" XXXXXXXX.="" this="" XXXXXXXX="" them="" freedom="" work="" live.="" XXXXXXXXXXX,="" koreans="" unable="" access="" XXXX="" media="" such="" as="" XXX="" XXXX="" times,="" XXXXX="" XXXXXX="" right="" XXXXXX.="" also="" not="" XXXX,="" with="" movement="" limited="" XXXXXX="" XXXXXXXXXXX="" XXXXX="" XXXXXXX="" border="" controls="" military="" XXXXXXXXXXX.="" XXXXXXX,="" political="" prisoners="" XXXXXXXXX="" have="" human="" rights="" XXXXXXXX="" labor,="" XXXXXXX,="" under="" XXXXXXXXXX.="" noted="" XXXXXXX,="" XXXXX="" XXXXXXXX="" secretive="" XXXXXX="" camps="" XXXXX="" XXXXXXXXX="" opponents="" XXXXXXXXXX="" XXXX="" XXXX="" XXXXXXXXXX="" rations="">span XXXXX="Apple-XXXXXXXXX-XXXXX"></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX">84417</span></p> <p><span XXXXX="s1">Unit X XXXX</span></p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"><span class="XXXXX-XXXXXXXXX-space"></span>X. X.<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <p><span XXXXX="s1">8. 1.</span></p> <p><span XXXXX="XX">9. 2.</span></p> <p><span class="XX">XX. 4.</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="s1"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span class="XX"></span> </p> <p><span XXXXX="s1">XXXXX</span></p> <p><span XXXXX="s1">Literal Equations: XXXXXXXXX #1</span></p> <p><span class="s1">XX.<span XXXXX="XXXXX-XXXXXXXXX-space"></span></span></p> <p><span XXXXX="s1">XX = 2x + 26</span></p> <p><span XXXXX="XX">2x = 26 - 14</span></p> <p><span XXXXX="s1">x = XX / 2</span></p> <p><span class="XX">x = X</span></p> <p><span class="XX"></span> </p> <p><span class="s1">6b. XX = 7v + 5</span></p> <p><span class="s1">7v = 3d - 5</span></p> <p><span XXXXX="XX">v = (XX - 5) /7</span></p> <p><span class="s1"></span> </p> <p><span XXXXX="s1">7a. -XX = 4 - 8x</span></p> <p><span XXXXX="s1"><span XXXXX="Apple-converted-XXXXX"> </span>8x = X + 30</span></p> <p><span XXXXX="s1"><span XXXXX="Apple-XXXXXXXXX-space"> </span>x = 34/8</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="XX">7b. XX = 10 - XX</span></p> <p><span class="s1"><span XXXXX="XXXXX-converted-space"> </span>XX = 10 - XX</span></p> <p><span class="s1"><span class="Apple-converted-space"> </span>h = (XX - XX) /X</span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XX. X(x-4) = 12</span></p> <p><span class="XX"><span class="XXXXX-XXXXXXXXX-XXXXX"> </span>XX - 12 = 12</span></p> <p><span class="XX"><span XXXXX="XXXXX-converted-space"> </span>3x = XX</span></p> <p><span class="XX"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>x = 8</span></p> <p><span XXXXX="s1"></span> </p> <p><span class="s1">8b. X(XX + p) = w</span></p> <p><span class="s1"><span XXXXX="Apple-converted-XXXXX"> </span>XXX + 5p = w</span></p> <p><span class="s1"><span XXXXX="Apple-converted-space"> </span>5p = w - 20x</span></p> <p><span class="s1"><span XXXXX="XXXXX-XXXXXXXXX-XXXXX"> </span>p = (w - XXX) / X<span XXXXX="XXXXX-converted-XXXXX"></span></span></p> <p><span class="XX"></span> </p> <p><span XXXXX="XX">XXXXX is equivalent to XX - XX = 10x</span></p> <p><span class="XX">a = (10x + XX) / X</span></p> <p><span class="s1">The XXXXXX is B</span></p> <p><span XXXXX="XX"></span> </p> <p><span XXXXX="s1"></span> </p> <p><span XXXXX="XX">Which is XXXXXXXXXX XX XXX + X = 13</span></p> <p><span XXXXX="s1">X = XX - 4ab</span></p> <p><span XXXXX="s1">XXX answer XX X</span></p> <p><span XXXXX="XX"></span> </p><p><br></p>">
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