Is zw positive?
(1) z + w3= 20
(2) z is positive.
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
题目分析:
zw为正,则需要z和w同时为正或者同时为负。
(1) 如果w=-2,则z=28,满足z + ~$w^3$~ = 20,但-2*28<0。
(2) z为正数,如果w为负,则zw<0。
根据条件1,z=28>0,满足条件2,也满足条件1时,zw<0。
因此,本题答案为(E),两个条件结合也不能解题,需要添加新条件。