Precalculus (6th Edition)

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

Chapter 1 - Equations and Inequalities - Chapter 1 Test Prep - Review Exercises - Page 179: 89

Answer

$[-4,1]$

Work Step by Step

Step 1. Factor the left side to get $(x+4)(x-1)\le0$ Step 2. Identify the boundary points as $x=-4,1$ forming three intervals $(-\infty,-4],[-4,1],[1,\infty)$ on a number line. Step 3. Use test values $x=-5, 0, 2$ for the inequality to get $F, T, F$ (F-False, T-True) Step 4. The solution is the middle interval $[-4,1]$
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