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  3. X, Y are in a set which has property P that any real number between X, Y also be

X, Y are in a set which has property P that any real number between X, Y also be

游客2024-01-12  28
问题 X, Y are in a set which has property P that any real number between X, Y also belongs to the set, which of the following is the set having property P?
选项 A、real number between 0 and 1
B、all real number but not whole numbers
C、all whole numbers
D、all positive integers
E、all negative integers
答案 A
解析 题目中的that引导定语从句来修饰property P。意思是：X，Y在某一个集合，这个集合具有性质P：只要X，Y在集合中，X，Y之间的任何实数也属于这个集合。
如果选取X=1.2，Y=4.5，那么按照性质P，就必须是区间(1.2，4.5)内的所有元素都属于集合，但是B中明确指出整数2，3，4不属于这个集合，所以B其实并不具有性质P。
选项A：real number between 0 and 1是连续的实数，那么无论选取哪两个数，这两个数之间的所有数都是实数，所以A为正确答案。
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