Answer
$n\leq15$
Work Step by Step
$-\frac{3}{5}m\geq-9\longrightarrow$ multiply each side by $-\frac{5}{3}$; reverse the inequality sign
$-\frac{3}{5}n\times-\frac{5}{3}\leq-9\times-\frac{5}{3}\longrightarrow$ multiply
$n\leq15$
A closed dot at the endpoint indicates 15 is part of the solution set.