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
