SOLUTION: need to solve inequalities 2/3(12-x)>=1/2(x+12)-5

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Question 70658: need to solve inequalities
2/3(12-x)>=1/2(x+12)-5
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
need to solve inequalities
2/3(12-x)>=1/2(x+12)-5
%282%2F3%29%2812%29%2B%282%2F3%29%28-x%29%3E=%281%2F2%29%28x%29%2B%281%2F2%29%2812%29-5
8-2x%2F3%3E=x%2F2%2B6-5
8-2x%2F3%3E=x%2F2%2B1 You can avoid adding fractions by multiplying everything by the LCD:6.
6%288%29%2B6%28-2x%2F3%29%3E=6%28x%2F2%29%2B6%281%29
48-4x%3E=3x%2B6
48-4x-3x%3E=3x-3x%2B6
48-7x%3E=6
48-48-7x%3E=6-48
-7x%3E=-42
-7x%2F-7x%3C=-42%2F-7 Flip the inequality when multiplying or dividing by a negative number.
highlight%28x%3C=6%29
Happy Calculating!!!!