Answer
$ t\lt -19$
The graph is shown below.
Work Step by Step
The given inequality is
$\Rightarrow -6\gt t-(- 13)$
Clear the parentheses.
$\Rightarrow -6\gt t+13$
Subtract $13$ from each side.
$\Rightarrow -6-13\gt t+13-13$
Simplify.
$\Rightarrow -19\gt t$
Hence, the solution is $ t\lt -19$.
Use an open circle because $-19$ is not a solution.
Shade the number line on the left side.