Data Sufficiency

Folks, please explain the steps you take to solve this:

If a < -1, is b between 0 and 1 ?

1. -b < -a
2. -1 < ab < 0

• (A) if statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not;
  
  (B) if statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not;
  
  (C) if statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient;
  
  (D) if EITHER statement BY ITSELF is sufficient to answer the question;
  
  (E) if statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

This question just killed me during practice, I just couldn't figure.