SOLUTION: solve -4(x-5)>2x+15 show work

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Question 363002: solve -4(x-5)>2x+15 show work
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-4%28x-5%29%3E2x%2B15 Start with the given inequality.


-4x%2B20%3E2x%2B15 Distribute.


-4x%3E2x%2B15-20 Subtract 20 from both sides.


-4x-2x%3E15-20 Subtract 2x from both sides.


-6x%3E15-20 Combine like terms on the left side.


-6x%3E-5 Combine like terms on the right side.


x%3C%28-5%29%2F%28-6%29 Divide both sides by -6 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3C5%2F6 Reduce.


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Answer:

So the solution is x%3C5%2F6


Which approximates to x%3C0.833