If \(4<\dfrac{7-x}3,\) which of the following must be true?

[Gmat_mission]

If \(4<\dfrac{7-x}3,\) which of the following must be true?

I. \(5<x\)
II. \(|x+3|>2\)
III. \(-(x+5)\) is positive

(A) II only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II, and III

Answer: D

Source: Official Guide