(1/3)·t - 5 < t - 2 <= -3t + 7
Multiply each term by 3: t - 15 < 3t - 6 <= -9t + 21
Subtract t from all three parts: -15 < 2t - 6 <= -10t -+21
Solving this part: -15 < 2t - 6 Solving this part: 2t - 6 <= -10t + 21
-9 < 2t 12t - 6 <= 21
-4.5 < t 12t <= 27
t <= 27/12
Combining these: (-4.5, 2.25]