Answer to Question #236782 in Calculus for CCW

Question #236782

Polynomial Inequalities:

7) 12 - x - x^2 < 0

show number line and answer in interval notation


1
Expert's answer
2021-09-22T00:51:47-0400

12-x-x2<0

12-4x+3x-x2<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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