Question

5[5m-(m+8)]>-8(m-6)
Use set builder notation to describe the complete solution.

Answer 1

5 [5m - (m + 8)] > -8 (m - 6)
5 [5m - m - 8] > -8m + 48
5 [4m - 8] > -8m + 48
20m - 40 > -8m + 48
20m + 8m > 48 + 40
28m > 88
m > 88/28
m > 22/7
The solution is {m | m > 22/7}