Answer
$ n\lt -2$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow \frac{n}{-2}+11\gt 12$
Subtract $11$ from each side.
$\Rightarrow \frac{n}{-2}+11-11\gt 12-11$
Simplify.
$\Rightarrow \frac{n}{-2}\gt 1$
Multiply each side by $-2$. Reverse the inequality symbol.
$\Rightarrow -2\cdot (\frac{n}{-2})\lt -2\cdot 1$
Simplify.
$\Rightarrow n\lt -2$
Hence, the solution is $ n\lt -2$.
Use an open circle because $-2$ is not a solution.
Shade the number line on the left side.
