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: 30

Answer

$n\lt\dfrac{31}{2}$

Work Step by Step

Using the Distributive Property and the properties of inequalities, the solution to the given inequality, $ 4(n-5)-2(n-1)\lt13 ,$ is \begin{array}{l}\require{cancel} 4n-20-2n+2\lt13 \\\\ 4n-2n\lt13+20-2 \\\\ 2n\lt31 \\\\ n\lt\dfrac{31}{2} .\end{array}
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