Solve the inequality and write your answer in interval notat

Solve the inequality and write your answer in interval notation (9-x^2)(x^2+5x+6)> 0

Solution

(9-x²)(x²+5x+6)>0

(3²-x²)(x²+3x+2x+6)>0

(3²-x²)(x(x+3)+2(x+3))>0

(3-x)(3+x)((x+3)(x+2))>0

(3-x)(x+3)²(x+2)>0

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

(x-3)(x+2)<0

x=(-2,3)