Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 1 - Summary Exercises - Reviewing a Chapter - Solving Linear and Absolute Value Equations and Inequalities - Page 122: 26


$\left( -\infty,5 \right)$

Work Step by Step

Using the properties of inequality, the given inequality, $ 6-3(2-x)\lt2(1+x)+3 ,$ simplifies to \begin{array}{l}\require{cancel} 6-6+3x\lt2+2x+3 \\\\ 3x\lt2x+5 \\\\ 3x-2x\lt5 \\\\ x\lt5 .\end{array} Hence, the solution is $ \left( -\infty,5 \right) .$
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