Answer
$ n\geq 1$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 7-3n \leq n+3$
Add $3n-3$ to each side.
$\Rightarrow 7-3n+3n-3 \leq n+3+3n-3$
Simplify.
$\Rightarrow 4 \leq 4n$
Divide each side by $4$.
$\Rightarrow \frac{4}{4} \leq \frac{4n}{4}$
Simplify.
$\Rightarrow 1 \leq n$
Hence, the solution is $ n\geq 1$.
Use a close circle because $1$ is a solution.
Shade the number line on the right side.