If \(a < 0\) and \(b < c,\) which of the following must be true?

[Gmat_mission]

If \(a < 0\) and \(b < c,\) which of the following must be true?

(A) \(ab < c\)
(B) \(ac > b\)
(C) \(ab > 0\)
(D) \(ac < 0\)
(E) \(ab > ac\)

Answer: E

Source: Manhattan GMAT