Elementary Algebra

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

Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Test: 12

Answer

$x\ge-9$

Work Step by Step

Using the Distributive Property and the properties of inequalities, the solution to the given inequality, $ 3(x-1)\le5(x+3) ,$ is \begin{array}{l}\require{cancel} 3x-3\le5x+15 \\\\ 3x-5x\le15+3 \\\\ -2x\le18 \\\\ x\ge\dfrac{18}{-2} \\\\ x\ge-9 .\end{array}
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