SOLUTION: 3(5-x)<2(x-9)

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Question 627121: 3(5-x)<2(x-9)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3%285-x%29%3C2%28x-9%29 Start with the given inequality.


15-3x%3C2x-18 Distribute.


-3x%3C2x-18-15 Subtract 15 from both sides.


-3x-2x%3C-18-15 Subtract 2x from both sides.


-5x%3C-18-15 Combine like terms on the left side.


-5x%3C-33 Combine like terms on the right side.


x%3E%28-33%29%2F%28-5%29 Divide both sides by -5 to isolate x. note: Remember, the inequality sign flips when we divide both sides by a negative number.


x%3E33%2F5 Reduce.


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Answer:

So the solution is x%3E33%2F5

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