Math Help - fraction equation inequality

I'm trying to solve the equality



I can't work out how to get the second solution of x > -1

You messed up in your second step.

When you multiply both sides of an inequality by a negative number (which happens when x is less than -1) you have to flip the sign, meaning that the second step would actually yield two inequalities:



and



Notice that because then you would have division by zero, which isn't allowed.

(Divided -1 from both sides in that last step there which switches the inequality).

So you have your critical points x = -4 and -1. Test below, in between, and above to see which regions are greater than 0 and you should have your answer.

Originally Posted by Craka

I'm trying to solve the equality



I can't work out how to get the second solution of x > -1