Answer
$ z\gt -9$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 18-5z+6z\gt 3+6$
Add like terms.
$\Rightarrow 18+z\gt 9$
Subtract $18$ from each side.
$\Rightarrow 18+z-18\gt 9-18$
Simplify.
$\Rightarrow z\gt -9$
Hence, the solution is $ z\gt -9$.
Use an open circle because $-9$ is not a solution.
Shade the number line on the right side.
