Question

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

Answer 1

`x< -3" or "x>2`

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]}