SOLUTION: -3(2x-4) < 4(x+2)

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Question 537142: -3(2x-4) < 4(x+2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-3%282x-4%29%3C4%28x%2B2%29 Start with the given inequality.


-6x%2B12%3C4x%2B8 Distribute.


-6x%3C4x%2B8-12 Subtract 12 from both sides.


-6x-4x%3C8-12 Subtract 4x from both sides.


-10x%3C8-12 Combine like terms on the left side.


-10x%3C-4 Combine like terms on the right side.


x%3E%28-4%29%2F%28-10%29 Divide both sides by -10 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E2%2F5 Reduce.


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Answer:

So the solution is x%3E2%2F5


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