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.