Chapter 8 - Section 8.3 - Solving Equations by Using Quadratic Methods - Exercise Set - Page 503: 73

$x\le3$

Using the properties of inequality, the solution to the given expression, $ \dfrac{5x}{3}+2\le7 ,$ simplifies to \begin{array}{l}\require{cancel} \dfrac{5x}{3}\le7-2 \\\\ \dfrac{5x}{3}\le5 \\\\ \dfrac{3}{5}\cdot\dfrac{5x}{3}\le5\cdot\dfrac{3}{5} \\\\ x\le3 .\end{array}