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 Review Problem Set: 65

Answer

$n\lt\dfrac{2}{11}$

Work Step by Step

Using the distributive property and properties of inequalities, the solution to the given inequality, $ -3(n-4)\gt5(n+2)+3n ,$ is \begin{array}{l}\require{cancel} -3n+12\gt5n+10+3n \\\\ -3n-5n-3n\gt10-12 \\\\ -11n\gt-2 \\\\ n\lt\dfrac{-2}{-11} \\\\ n\lt\dfrac{2}{11} .\end{array}
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