Answer
$ t\gt -4$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow 2\gt -3t-10$
Add $10$ to each side.
$\Rightarrow 2+10\gt -3t-10+10$
Simplify.
$\Rightarrow 12\gt -3t$
Divide each side by $-3$. Reverse the inequality symbol.
$\Rightarrow \frac{12}{-3}\lt \frac{-3t}{-3}$
Simplify.
$\Rightarrow -4\lt t$
Hence, the solution is $ t\gt -4$.
Use an open circle because $-4$ is not a solution. Shade the number line on the right side.
