Question: Let P = {[1,3], [4 , 7], [8,10]} be a partition of [1,10] Z. Consider the relation [1,10] [1,10] defined by x ~ y if

Let P = {[1,3], [4,7], [8,10]} be a partition of [1,10] Z.

Consider the relation

[1,10] [1,10]

defined by x ~ y if and only if there exist a set S P such that x S and y S.

Which of the following holds?

1) 1 3

2) 1 ~ 4

3) 4 ~ 5

4) 9 ~ 9

5) 3 ~ 8

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