Chapter 4 - Proportions, Percents, and Solving Inequalities - 4.5 - Inequalities, Compound Inequalities, and Problem Solving - Problem Set 4.5 - Page 175: 11

$x\gt-\dfrac{11}{5}$

Using the properties of inequalities, the solution to the given inequality, $ -3x-4\lt2x+7 ,$ is \begin{array}{l}\require{cancel} -3x-2x\lt7+4 \\\\ -5x\lt11 \\\\ x\gt\dfrac{11}{-5} \\\\ x\gt-\dfrac{11}{5} .\end{array}