Answer
$ x\geq -8$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow \frac{x}{2}-5\geq -9$
Add $5$ to each side.
$\Rightarrow \frac{x}{2}-5+5\geq -9+5$
Simplify.
$\Rightarrow \frac{x}{2}\geq -4$
Multiply each side by $2$.
$\Rightarrow 2\cdot (\frac{x}{2})\geq 2\cdot (-4)$
Simplify.
$\Rightarrow x\geq -8$
Hence, the solution is $ x\geq -8$.
Use a close circle because $-8$ is a solution.
Shade the number line on the right side.
