Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4: 36

Answer

$n\lt-\dfrac{9}{2}$

Work Step by Step

Using the properties of inequalities, the solution to the given inequality, $ 36\lt-8n ,$ is \begin{array}{l}\require{cancel} \dfrac{36}{-8}\gt n \\\\ -\dfrac{\cancel{4}\cdot9}{\cancel{4}\cdot2}\gt n \\\\ -\dfrac{9}{2}\gt n \\\\ n\lt-\dfrac{9}{2} .\end{array}
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