Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 2 - Section 2.7 - Absolute Value Inequalities - Exercise Set - Page 106: 29

Answer

$\left[ -2,2 \right]$

Work Step by Step

Using the definition of absolute value inequality, then \begin{align*} |x|\le2\\ -2\le x\le2 .\end{align*} Hence, the interval that satisfies the given is inequality is $\left[ -2,2 \right]$. *Note: Definition of Absolute Value Inequalities (1) $|x|a\leftrightarrow xa$\\ This is also true for $\le$ and for $\ge$.
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