Answer
$ x\geq -17$.
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow x+8\geq -9$
Subtract $8$ from each side.
$\Rightarrow x+8-8\geq -9-8$
Simplify.
$\Rightarrow x\geq -17$
Hence, the solution is $ x\geq -17$.
Use a close circle because $-17$ is a solution.
Shade the number line on the right side.