X^2-x-6>0 how do you solve this inequality?

Question

X^2-x-6>0 how do you solve this inequality?

Answer 1

you just need to remember if you multiply or divide any of the sides by a negative you will have to change the inequality sign to point the other direction, so you have a polynomial so you can factor do

(x-3)(x+2) this will factor your inequality and now you have (x-3)(x+2)>0

now solve individually to find out the inequality so your answer should be x{ | 3>x>-2}

Answer 2

First you take the inequality and factor it.

(x-3)(x+2)>0

Now you set them equal to 0.

x-3>0

x>3

x+2>0

x>-2

I think this is how you do it.