(1/3)·t - 5 < t - 2
Multiply both sides by 3: t - 15 < 3t - 6
Subtract t: -15 < 2t - 6
Add 6: -9 < 2t
Divid by 2: -4.5 < t
t - 2 <= -3t + 7
Add 3t to both sides: 4t - 2 <= 7
Add 2: 4t <= 9
Divide by 4: t <= 2.25
Combining these two inequalities: -4.5 < t <= 2.25