College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 1 - Section 1.8 - Absolute Value Equations and Inequalities - 1.8 Exercises - Page 153: 5


Choice G

Work Step by Step

Since for any $a\gt0$, $|x|\lt a$ implies $-a\lt x\lt a$, then the given inequality, $ |x|<7 ,$ is equivalent to \begin{array}{l}\require{cancel} -7\lt x<7 .\end{array} Hence, the graph is $\text{ Choice G }.$ Note that the symbol $\lt$ may be replaced with $\le$.
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