Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set - Page 184: 59

$x\gt35$

Using the Distributive Property and the properties of inequalities, the solution to the given inequality, $ 6(x-3)\gt4(x+13) ,$ is \begin{array}{l}\require{cancel} 6x-18\gt4x+52 \\\\ 6x-4x\gt52+18 \\\\ 2x\gt70 \\\\ x\gt\dfrac{70}{2} \\\\ x\gt35 .\end{array}