Question

Can someone explain thoroughly how I am meant to solve this?

Answer 1

I got x<equal to -11 or x>equal to4

Explanation:

x^2+15x+44=0

(x+4)(x+11)=0(Factor left side of equation)

x+4=0 or x+11=0(Set factors equal to 0)

x=−4 or x=−11

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<−11(Works in original inequality)

−11<x<−4(Doesn't work in original inequality)

x>−4(Works in original inequality)

Answer:

x<−11 or x>−4