SOLUTION: 5[3m-(m+4)]>-2(m-4) use set builder notation to describe the complete solution

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Question 146782: 5[3m-(m+4)]>-2(m-4)
use set builder notation to describe the complete solution
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%283m-%28m%2B4%29%29%3E-2%28m-4%29 Start with the given inequality


15m-5%28m%2B4%29%3E-2%28m-4%29 Distribute 5 to the terms on the left side


15m-5m-20%3E-2m%2B8 Distribute again.


10m-20%3E-2m%2B8 Combine like terms on the left side.


10m%3E-2m%2B8%2B20 Add 20 to both sides.


10m%2B2m%3E8%2B20 Add 2m to both sides.


12m%3E8%2B20 Combine like terms on the left side.


12m%3E28 Combine like terms on the right side.


m%3E%2828%29%2F%2812%29 Divide both sides by 12 to isolate m.


m%3E7%2F3 Reduce.


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Answer:

So the answer is m%3E7%2F3


Which approximates to m%3E2.333




So the answer in set-builder notation is