If a = 3 + b, which of the following is true?

Question

(I) a > b + 2.5 (II) a < b + 2.5 (III) a > 2 + b (A) I only (B) II only (C) III only (D) I and II only (E) I and III only The given answer is (A), (C), and (D). How come? My calculation was (E).

Answer 1

a IS equal to 3+b, ie a=3+b.

If you subtract 1/2 from the right hand side then a would be bigger. That is a > 2 1/2 + b

Same argument if you subract 1 from the right hand side. a > 2+b

YES, the answer is E