Solve. (x+5)(x-3)(x+4) is greater than 0.

Question

Use at least one inequality or compound inequality to express your answer. Type R if the answer is in all real numbers.

Answer 1

The expression is zero at x= -5, -4 and +3. It becomes increasingly negative for x<-5 and increasing positive for x>3.

It is negative for -4<x<3 and positive for -5<x<-4

Therefore the answer is x>3 and -5<x<-4

Try graphing it and see. It is negative at x=0 and positive for x=-4.5,so that works.