Problem Solving

试题详情

题目:

S is a set of integers such that
I) If x is in S, then –x is in S.
II) If both x and y are in S, then so is x + y.
Is –2 in S?
 (1) 1 is in S.
(2) 0 is in S.
 

选项:

A、A. if statement (1) ALONE is sufficient to answer the question but statement (2) alone is not sufficient;
B、B. if statement (2) ALONE is sufficient to answer the question but statement (1) alone is not sufficient;
C、C. if the two statements TAKEN TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient;
D、D. if EACH statement ALONE is sufficient to answer the question;
E、E. if the two statements TAKEN TOGETHER are still NOT sufficient to answer the question.

答案:

A

提问:

这道题1和0假设成X,Y吗?有些模糊,感觉莫能两可的赋值,谢谢。答案是A,我选了E
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提问:

由statement 1可以推出来集合中有-1、0、1,不知道-2是怎么推出来的。
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