Answer
$ z\gt 3$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -5z+1\lt -14$
Subtract $1$ from each side.
$\Rightarrow -5z+1-1\lt -14-1$
Simplify.
$\Rightarrow -5z\lt -15$
Divide each side by $-5$. Reverse the inequality symbol.
$\Rightarrow \frac{-5z}{-5}\gt \frac{-15}{-5}$
Simplify.
$\Rightarrow z\gt 3$
Hence, the solution is $ z\gt 3$.
Use an open circle because $3$ is not a solution.
Shade the number line on the right side.
