Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.9 Graph and Solve Quadratic Inequalities - 4.9 Exercises - Skill Practice - Page 304: 32


$x \lt -2$ or $x \gt 6$.

Work Step by Step

Given $x^2 -4x\gt 12$. Rewrite as: $x^2-4x -12 \gt 0$. Then make a table of values: Notice that $x^2-4x -12 \gt 0$ when $x \lt -2$ or $x \gt 6$. The solution of the inequality is $x \lt -2$ or $x \gt 6$.
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