I think the answer will be D.
Explanation:
2 3\5 < b - 8\15
Multiply both sides of the equation by 15, the least common multiple of 5,15. Since 15 is positive, the inequality direction remains the same.
3(2×5+3)<15b−8
Multiply 2 and 5 to get 10.
3(10+3)<15b−8
Add 10 and 3 to get 13.
3×13<15b−8
Multiply 3 and 13 to get 39.
39<15b−8
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
15b−8>39
Add 8 to both sides.
15b>39+8
Add 39 and 8 to get 47.
15b>47
Divide both sides by 15. Since 15 is positive, the inequality direction remains the same.
b > 47\15
= b > 3 2\15