It depends on how you look at the equation. There are 2 different ways to look at this problem.
First Method:
4x-(-8)>-120
4x+8>-120
x>-32
Second Method:
-8-4x>-120
-4x>-112
x<28
***Most of the time, when people say the difference between two numbers they are asking for a positive integer. Therefore, I would suggest going with the second method.
