You have .
First, note that .
In order to solve for , you need to consider two cases, since multiplying or dividing by a negative number reverses the inequality sign...
Case 1: .
So in this case, you are told and . Since there are not any values of that satisfy both conditions, there are not any solutions in this case.
Case 2: .
So in this case, the conditions are and .
Therefore, the solution in this case is .
So the solution of your inequality is .
Wow, that is a big post, what have you tried?