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: 66

Answer

$n\gt33$

Work Step by Step

Using the distributive property and properties of inequalities, the solution to the given inequality, $ -4(n-2)-(n-1)\lt-4(n+6) ,$ is \begin{array}{l}\require{cancel} -4n+8-n+1\lt-4n-24 \\\\ -4n-n+4n\lt-24-8-1 \\\\ -n\lt-33 \\\\ n\gt33 .\end{array}
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