Chapter 2 - Equations, Inequalities, and Problem Solving - 2.6 Solving Inequalities - 2.6 Exercise Set - Page 136: 95

$x\le7$

Using the Distributive Property and the properties of inequality, the solution to the given inequality, $ \dfrac{4}{5}(3x+4)\le20 ,$ is \begin{array}{l}\require{cancel} 5\cdot\dfrac{4}{5}(3x+4)\le20\cdot5 \\\\ 4(3x+4)\le100 \\\\ 4(3x)+4(4)\le100 \\\\ 12x+16\le100 \\\\ 12x\le100-16 \\\\ 12x\le84 \\\\ x\le\dfrac{84}{12} \\\\ x\le7 .\end{array}