# How do you solve the inequality #-x^2 - x + 6 <0#?

##### 1 Answer

May 12, 2018

#### Explanation:

#"factor the quadratic"#

#-(x^2+x-6)<0#

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

#"find the zeros by solving"#

#(x+3)(x-2)=0#

#rArrx=-3" or "x=2#

#"since the coefficient of "x^2" term "<0rArrnnn#

#rArrx< -3" or "x>2#

graph{-x^2-x+6 [-10, 10, -5, 5]}