Answer
$ z\geq -10$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 1\geq -\frac{1}{10}z$
Multiply each side by $-10$. Reverse the inequality symbol.
$\Rightarrow -10\cdot 1 \leq -10\cdot (-\frac{1}{10}z)$
Simplify.
$\Rightarrow -10\leq z$
Hence, the solution is $ z\geq -10$.
Use a close circle because $-10$ is a solution.
Shade the number line on the right side.
