Question #236782

Polynomial Inequalities:

7) 12 - x - x^2 < 0

show number line and answer in interval notation

Expert's answer

12-x-x^{2}<0

12-4x+3x-x^{2}<0

4(3-x)+x(3-x)<0

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

4+x<0

x<-4

3-x<0

-(x-3)<0

(x-3)>0

x>3

answer in interval notation;

x=(-\infty,-4) U (\infty,3)

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