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: 35

Answer

$n\gt-\dfrac{24}{7}$

Work Step by Step

Using the properties of inequality, the solution to the given inequality, $ 48\gt-14n ,$ is \begin{array}{l}\require{cancel} \dfrac{48}{-14}\lt n \\\\ -\dfrac{\cancel{2}\cdot24}{\cancel{2}\cdot7}\lt n \\\\ -\dfrac{24}{7}\lt n \\\\ n\gt-\dfrac{24}{7} .\end{array}
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