Solve each inequality X2 5x 14 Solutiona x2 5x 14

Solve each inequality. X^2 - 5x - 14

a) x^2 -5x -14<0

x^2 -7x +2x -14 <0

x(x-7) +2(x-7)<0

(x-7)(x+2)<0

-2<x<7 is the solution set

b) (x-7)/(x+2)>=0

x-7 is zero for x =7

x-7 is negative for x<7

x-7 is positive for x >7

x+2 is zero for x=-2

x+2 is negative for x<-2

x+2 is positive for x>-2

(-infinity,-2) U (7,infinity) is solution set