SOLUTION: Solve the inequality. Express the final answer in interval notation. -5(2x-3)≤-2(x+7)

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Question 744173: Solve the inequality. Express the final answer in interval notation.
-5(2x-3)≤-2(x+7)
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
-5%282x-3%29%26%238804%3B-2%28x%2B7%29
we'll move the term with the greatest absolute value so that we can avoid dividing by a negative number:

-5%282x-3%29%2B5%282x-3%29%3C=-2%28x%2B7%29%2B5%282x-3%29
0%3C=-2%28x%2B7%29%2B5%282x-3%29


0%3C=-2x-14%2B10x-15


0%3C=8x-29
rewriting so that the variable is on the left...

%288x%29%2F8%3E=29%2F8

x%3E=29%2F8