Solve the following inequality WRITE YOUR ANSWER USING INTER

Solve the following inequality. WRITE YOUR ANSWER USING INTERVAL NOTATION. x^2 + 4x > 12 Answer (in interval notation):___________________

Solution

x^2 +4x >12

x^2 +4x -12>0

x^2 +6x -2x -12 >0

x(x+6)-2(x+6)>0

(x+6)(x-2) >0

x<-6 and x>2

So interval notation : (-inf , -6) U ( 2, inf)