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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 :

Given the inequality:

[tex]x^2>-9x-18[/tex]

Solve for x as follows:

[tex]\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}[/tex]

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

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