What is the soloution of x^2-1/x^2+5x+4< _0

You have the following inequality given in the problem shown above:

 (x^2-1)/(x^2+5x+4)≤0

 1. To solve it, you must factor it and then you must make the study of the signs.

 2. Once you do the proccedure mentioned above, you obtain the following solutions:

 -4<x<-1

 -1<x≤1

 3. You can graph the inaquality given in the problem, as you can see in the figure attached.