Answer:
We have two inequalities here:
-3x + 8/3 < 15 (dividing both sides by -3)
-3x < 15 - 8/3 (subtracting 8/3 from both sides)
-3x < 37/3
x > -37/9
and
-3x + 8 < 15 (subtracting 8 from both sides)
-3x < 7
x > -7/3
So the solution set for the inequality -3x + 8/3 < 15 is x > -37/9, and the solution set for the inequality -3x + 8 < 15 is x > -7/3.
The combined solution set is the intersection of these two sets, which is x > -7/3. Therefore, the solution set for the original inequality is x > -7/3.