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: 103

Answer

$x=-\dfrac{1}{4}$

Work Step by Step

The given inequality, $ |4x+1|=0 ,$ is equivalent to \begin{array}{l}\require{cancel} 4x+1=0 .\end{array} Using the properties of equality, the solution to the equation above is \begin{array}{l}\require{cancel} 4x=-1 \\\\ x=-\dfrac{1}{4} .\end{array}
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