Question

What is the solution to the inequality x2 > –9x – 18?

A) x < –6 or x > –3
B) –6 < x < –3
C) x ≤ –6 and x ≥ –3
D) x < –6 and x > –3

Answer 1

Given the inequality:

`x^2>-9x-18`

Solve for x as follows:

`\begin{gathered} x^2+9x+18>0 \\ (x+3)(x+6)>0 \\ x+3=0\rightarrow x=-3 \\ x+6=0\rightarrow x=-6 \\ So,\text{ } \\ x>-3,x<-6 \end{gathered}`

So, the answer will be option C) x < -6 and x > -3