How do you solve the inequality #x^2 - x - 3 > x#?
1 Answer
Apr 17, 2016
(-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.)
