Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 9 - Inequalities and Problem Solving - 9.3 Absolute-Value Equations and Inequalities - 9.3 Exercise Set: 111

Answer

$|x-7|\lt2$

Work Step by Step

The expression, $|x-a|\lt b,$ means the distance of $x$ from $a$ is less than $b$ units. Hence, the given description, "$x$ is less than 2 units from $7$," in symbols, is equivalent to \begin{array}{l}\require{cancel} |x-7|\lt2 .\end{array}
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