SOLUTION: -4(3x-6)<3(x+3)

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Question 119116: -4(3x-6)<3(x+3)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-4%283x-6%29%3C3%28x%2B3%29 Start with the given inequality



-12x%2B24%3C3x%2B9 Distribute


-12x%3C3x%2B9-24Subtract 24 from both sides


-12x-3x%3C9-24 Subtract 3x from both sides


-15x%3C9-24 Combine like terms on the left side


-15x%3C-15 Combine like terms on the right side


x%3E%28-15%29%2F%28-15%29 Divide both sides by -15 to isolate x (note: Remember, dividing both sides by a negative number flips the inequality sign)



x%3E1 Divide

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Answer:
So our answer is x%3E1