Swagee (x+5)(x−8)<0

x2−3x−40<0

Let's find the critical points of the inequality.

x2−3x−40=0

(x+5)(x−8)=0

x+5=0 or x−8=0

x=−5 or x=8

x<−5

−5<x<8

x>8

Answer:

−5<x<8

(x+2)(x−7)>0

x2−5x−14>0

x2−5x−14=0

(x+2)(x−7)=0

x+2=0 or x−7=0

x=−2 or x=7

x<−2

−2<x<7

x>7

Answer:

x<−2 or x>7