Answer
$ z\lt -2$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow z-(-7)\lt 5$
Clear the parentheses.
$\Rightarrow z+7\lt 5$
Subtract $7$ from each side.
$\Rightarrow z+7-7\lt 5-7$
Simplify.
$\Rightarrow z\lt -2$
Hence, the solution is $ z\lt -2$.
Use an open circle because $-2$ is not a solution.
Shade the number line on the left side.
