SOLUTION: Use set builder notation to describe the complete solution 5[3m-(m+6)] > -6(m-5)

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Question 146398: Use set builder notation to describe the complete solution
5[3m-(m+6)] > -6(m-5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%283m-%28m%2B6%29%29%3E-6%28m-5%29 Start with the given inequality


15m-5%28m%2B6%29%3E-6%28m-5%29 Distribute 5 to the terms on the left side


15m-5m-30%3E-6m%2B30 Distribute again.


10m-30%3E-6m%2B30 Combine like terms on the left side.


10m%3E-6m%2B30%2B30 Add 30 to both sides.


10m%2B6m%3E30%2B30 Add 6m to both sides.


16m%3E30%2B30 Combine like terms on the left side.


16m%3E60 Combine like terms on the right side.


m%3E%2860%29%2F%2816%29 Divide both sides by 16 to isolate m.


m%3E15%2F4 Reduce.


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Answer:

So the answer is m%3E15%2F4


Which approximates to m%3E3.75



So the answer in set-builder notation is