College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.8 - Solving Absolute Value Equations and Inequalities - 1.8 Exercises - Page 153: 26

Answer

Interval: $(-\infty,\ -2]\ \cup\ [2,\ \infty)$

Work Step by Step

$\displaystyle \frac{1}{2}|x|\geq 1$ $|x|\geq 2$ We split this into the positive and negative: $x\geq 2$ or $x\leq-2$ Interval: $(-\infty,\ -2]\ \cup\ [2,\ \infty)$
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