Hint: This looks complicated, but you can rewrite it into the system of inequalities \(\begin{cases}\dfrac t3 - 5 < t - 2 + 2t\\t - 2 + 2t \leq -3t + 7\end{cases}\), solve each inequality, and find the range of values of t which satisfies both inequalities. Now it just becomes two separate linear inequalities in t.