Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.4 - Inequalities - Problem Set 4.4 - Page 169: 35

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

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}