We want to multiply through by the LCD of x+5.
But if x+5 is negative, the inequality symbol will reverse.
So we must take two cases:

Case 1:  x+5>0 or x>-5


We are multiplying through by a positive number, so we keep
the same inequality symbol







This contradicts x>-5, so Case 1 must be discarded.

Case 2:  x+5<0 or x<-5


We are multiplying through by a negative number, so we reverse
the inequality symbol







However, case 2 requires that x<-5

So the graph of the solution is



which can be written as



or in interval notation as

[-8,-5)

A bracket on the left to show that -8 is included
and a parenthesis on the right.

Edwin