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 162: 96

Answer

$(-\infty,-1)$

Work Step by Step

Step 1. Identify the boundary point at $x=-1,5$ Step 2. Plot the above points on a number line and obtain three intervals $(-\infty,-1),(-1,5),(5,\infty)$ Step 3. Choose test values at $x=-2,0,6$ for each interval and test the inequality. The results are $T,F,F$ (T for True, F for False) for each interval. Step 4. The solutions are the intervals with true results: $(-\infty,-1)$
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