Chapter 4 - Proportions, Percents, and Solving Inequalities - Chapter 4 Review Problem Set - Page 184: 70

$x\lt-\dfrac{43}{3}$

Using the Distributive Property and the properties of inequalities, the solution to the given inequality, $ 36\lt-3(x+2)-1 ,$ is \begin{array}{l}\require{cancel} 36\lt-3x-6-1 \\\\ 3x\lt-6-1-36 \\\\ 3x\lt-43 \\\\ x\lt-\dfrac{43}{3} .\end{array}