Inequality and Interval Notation

Question

How can I solve the following inequality:

-2(m-3)<5(m+1)-12

and how do I give both the inequality and interval notation forms of the solution?

Answer 1

-2(m - 3) < 5(m + 1) - 12

-2m + 6 < 5m + 5 - 12

-7m < -13

m > 13/7

Interval notation: (13/7 , ∞)