这道GWD答案给错了吧

Q32:结合条件1和2可知x,y,z 同号，那么有可能三者同正，则x (y + z) > 0;还可能三者同负，则x (y + z) < 0，应该选E, 答案却是C.

If xyz
            ≠ 0, is x (y + z) ≥ 0?

(1)
                │y + z│ = │y│ + │z│

(2)
                  │x + y│ = │x│ + │y│

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D. EACH statement ALONE is sufficient.

E. Statements (1) and (2) TOGETHER are NOT sufficient.