Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Section 1.7 - Absolute Value Equations and Inequalities - 1.7 Exercises: 116

Answer

no solution

Work Step by Step

The given inequality, $ |4x+1|-2\lt-5 ,$ is equivalent to \begin{array}{l}\require{cancel} |4x+1|\lt-5+2 \\\\ |4x+1|\lt-3 .\end{array} For any $x$, the left side of the inequality above is a non-negative number. This is never less than the negative number at the right. Hence, there is $\text{ no solution .}$
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