Answer
$ t\gt -2$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -6t\lt 12$
Divide each side by $-6$. Reverse the inequality symbol.
$\Rightarrow \frac{-6t}{-6}\gt \frac{12}{-6}$
Simplify.
$\Rightarrow t\gt -2$
Hence, the solution is $ t\gt -2$.
Use an open circle because $-2$ is not a solution.
Shade the number line on the right side.
