Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5: 22

Answer

$x\gt\dfrac{29}{3}$

Work Step by Step

Using the properties of inequalities, the solution to the given inequality, $ -3(x-5)\lt-14 ,$ is \begin{array}{l}\require{cancel} (x-5)\gt\dfrac{-14}{-3} \\\\ x-5\gt\dfrac{14}{3} \\\\ x\gt\dfrac{14}{3}+5 \\\\ x\gt\dfrac{14}{3}+\dfrac{15}{3} \\\\ x\gt\dfrac{29}{3} .\end{array}
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