College Algebra (11th Edition)

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

Chapter 1 - Review Exercises - Page 164: 88


$\left( -\dfrac{7}{3},-1 \right)$

Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given inequality, $ -8\gt3x-5\gt-12 ,$ use the properties of inequality to isolate the variable. $\bf{\text{Solution Details:}}$ Using the properties of inequality, the inequality above is equivalent to \begin{array}{l}\require{cancel} -8+5\gt3x-5+5\gt-12+5 \\\\ -3\gt3x\gt-7 \\\\ \dfrac{-3}{3}\gt\dfrac{3x}{3}\gt-\dfrac{7}{3} \\\\ -1\gt x\gt-\dfrac{7}{3} \\\\ -\dfrac{7}{3}\lt x\lt -1 .\end{array} Hence, the solution set is the interval $ \left( -\dfrac{7}{3},-1 \right) .$
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