# How do you solve the inequality #x^2 - x - 3 > x#?

##### 1 Answer

Apr 17, 2016

#### Answer:

(-inf., -1) and (3, inf.)

#### Explanation:

Bring the inequality to standard form -->

First, Find the 2 real roots (or x-intercepts):

Since a - b + c = 0, use shortcut. The 2 x-intercepts are: -1

and

Since a > 0, the parabola graph opens upward. Between the 2 x-intercepts, f(x) < 0. Outside the 2 x-intercepts, f(x) > 0.

Answer by open interval: (-inf., -1) and (3, inf.)