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: 45

Answer

Interval: $[-4,\ -1]\cup [1$, 4 $]$

Work Step by Step

$1\leq|x|\leq 4$ There are two possibilities. If $x$ is positive, then $|x|=x$: $1\leq|x|\leq 4$ $1\leq x\leq 4$ If $x$ is negative, then $|x|=-x$: $1\leq|x|\leq 4$ $1\leq-x\leq 4$ $-1\geq x\geq-4 $ $-4\leq x\leq-1$ Interval: $[-4,\ -1]\cup [1$, 4 $]$
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