Answer
$n\lt-\dfrac{9}{2}$
Work Step by Step
Using the properties of inequalities, the solution to the given inequality, $
36\lt-8n
,$ is
\begin{array}{l}\require{cancel}
\dfrac{36}{-8}\gt n
\\\\
-\dfrac{\cancel{4}\cdot9}{\cancel{4}\cdot2}\gt n
\\\\
-\dfrac{9}{2}\gt n
\\\\
n\lt-\dfrac{9}{2}
.\end{array}