Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 1 - Equations and Inequalities - 1.7 Inequalities - 1.7 Exercises - Page 160: 77

Answer

$[-\frac{8}{3},\frac{3}{2}]U(6,\infty)$

Work Step by Step

Step 1. Identify the boundary points as $x=-\frac{8}{3},\frac{3}{2},6$ Step 2. Use test points at $x=-3,0,2,7$, the signs of the left side rational are $-,+,-,+$ Step 3. The inequality is true for positive (2nd and 4th regions, excluding $x=6$), thus the solutions are $[-\frac{8}{3},\frac{3}{2}]U(6,\infty)$
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