## Elementary Algebra

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