SOLUTION: 8-9(2x+4)<=-2x+13

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Question 628350: 8-9(2x+4)<=-2x+13
Answer by jim_thompson5910(35256) About Me  (Show Source):
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8-9%282x%2B4%29%3C=-2x%2B13 Start with the given inequality.


8-18x-36%3C=-2x%2B13 Distribute.


-18x-28%3C=-2x%2B13 Combine like terms on the left side.


-18x%3C=-2x%2B13%2B28 Add 28 to both sides.


-18x%2B2x%3C=13%2B28 Add 2x to both sides.


-16x%3C=13%2B28 Combine like terms on the left side.


-16x%3C=41 Combine like terms on the right side.


x%3E=%2841%29%2F%28-16%29 Divide both sides by -16 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E=-41%2F16 Reduce.


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Answer:

So the solution is x%3E=-41%2F16

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