单选题 S is a set of integers such that
i) if a is in S. then -a is in S, and
ii) if each of n and b is in S, then ab is in S. Is -4 in S?
(1)1 is in S.
(2)2 is in S.
(A) 条件(1)充分,但条件(2)不充分.
(B) 条件(2)充分,但条件(1)不充分.
(C) 条件(1)和(2)单独都不充分,但条件(1)和条件(2)联合起来充分.
(D) 条件(1)充分,条件(2)也充分.
(E) 条件(1)和条件(2)单独都不充分,条件(1)和条件(2)联合起来也不充分.

【正确答案】 B
【答案解析】[解析] (1)不充分,因为根据1在S中,只能推出-1也在S中,而得不到有关-4的任何信息;(2)充分,根据2在S中,由i)可推知-2也在S中,再根据ii)可知2与-2的乘积-4也在S中。