Answer
$ z\geq 5$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -10\geq -2z$
Divide each side by $-2$. Reverse the inequality symbol.
$\Rightarrow \frac{-10}{-2}\leq \frac{-2z}{-2}$
Simplify.
$\Rightarrow 5\leq z$
Hence, the solution is $ z\geq 5$.
Use a close circle because $5$ is a solution.
Shade the number line on the right side.