Intermediate Algebra (12th Edition)

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

Chapter 4 - Chapters R-4 - Cumulative Review Exercises: 8

Answer

$m\lt6$

Work Step by Step

Use the Distributive Property and the properties of inequality to solve the given inequality, $ 2(m+5)-3m+1\gt5 .$ Using $a(b+c)=ab+ac$ or the Distributive Property, the inequality above is equivalent to \begin{array}{l}\require{cancel} 2m+10-3m+1\gt5 .\end{array} Using the properties of inequality, the solution to the inequality above is \begin{array}{l}\require{cancel} 2m-3m\gt5-10-1 \\\\ -m\gt-6 \\\\ \dfrac{-m}{-1}\lt\dfrac{-6}{-1} \\\\ m\lt6 .\end{array}
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