Answer
$ d\gt -2$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -2d-2\lt 3d+8$
Add $2d$ to each side.
$\Rightarrow -2d-2+2d\lt 3d+8+2d$
Simplify.
$\Rightarrow -2\lt 5d+8$
Subtract $8$ from each side.
$\Rightarrow -2-8\lt 5d+8-8$
Simplify.
$\Rightarrow -10\lt 5d$
Divide each side by $5$.
$\Rightarrow \frac{-10}{5}\lt \frac{5d}{5}$
Simplify.
$\Rightarrow -2\lt d$
Hence, the solution is $ d\gt -2$.
Use an open circle because $-2$ is not a solution.
Shade the number line on the right side.
