Let R be the set of all real numbers. Consider the following subsets of the
plane R × R: S = {(x, y) : y = x + 1 and 0 < x < 2} and T={(x, y) : x - y is an
integer} Then which of the following is true?
(1) T is an equivalence relation but S is not an equivalence relation.
(2) Neither S nor T is an equivalence relation
(3) Both S and T are equivalence relation
(4) S is an equivalence relation but T is not an equivalence relation.
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