Answer
$t \leq -2$ or $t \geq 7$
Work Step by Step
In order to solve, treat $2t \leq -4$ and $7t \geq 49$ as separate inequalities and solve individually.
Divide the 2 in $2t \leq -4$ to isolate $t$
$t \leq -2$
Divide the 7 in $7t \geq 49$ to isolate the $t$
$t \geq 7$