SOLUTION: Could someone help me with this? This is the problem to solve with set builder notation. I don't know what set builder notation is. 5[5m-(m+4)]>-8(m-2) Thank-you very much.

Algebra ->  Inequalities -> SOLUTION: Could someone help me with this? This is the problem to solve with set builder notation. I don't know what set builder notation is. 5[5m-(m+4)]>-8(m-2) Thank-you very much.      Log On


   

Question 193264: Could someone help me with this? This is the problem to solve with set builder notation. I don't know what set builder notation is.
5[5m-(m+4)]>-8(m-2)
Thank-you very much.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
... Start with the given inequality.


25m-5%28m%2B4%29%3E-8%28m-2%29 ... Distribute.


25m-5m-20%3E-8m%2B16 Distribute again.


20m-20%3E-8m%2B16 Combine like terms on the left side.


20m%3E-8m%2B16%2B20 Add 20 to both sides.


20m%2B8m%3E16%2B20 Add 8m to both sides.


28m%3E16%2B20 Combine like terms on the left side.


28m%3E36 Combine like terms on the right side.


m%3E%2836%29%2F%2828%29 Divide both sides by 28 to isolate m.


m%3E9%2F7 Reduce.


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Answer:

So the answer is m%3E9%2F7

which in set-builder notation is