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 - Review Exercises: Chapter 9: 7

Answer

$x\gt-\dfrac{3}{2}$

Work Step by Step

$\bf{\text{Solution Outline:}}$ Use the properties of inequality to solve the given, $ -6x-5\lt4 .$ $\bf{\text{Solution Details:}}$ Using the properties of inequality, the given is equivalent to \begin{array}{l}\require{cancel} -6x-5\lt4 \\\\ -6x\lt4+5 \\\\ -6x\lt9 .\end{array} Dividing both sides by a negative number (and consequently reversing the inequality symbol), the inequality above is equivalent to \begin{array}{l}\require{cancel} -6x\lt9 \\\\ x\gt\dfrac{9}{-6} \\\\ x\gt-\dfrac{3}{2} .\end{array}
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