I am trying to solve

Because log 0.5 is always negative, the entire numerator must be negative as well for the entire expression to be positive. Therefore,

For I reached the conclusion that or

But I'm stuck at

if I multiply the denominator over it will be x + 3<x -1, which makes no sense to me

Please, if someone could point out where I made my error, I've spent a lot of time on this question and the due date is approaching fast. Thank you!