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Question
Choose the correct alternative:
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?
Options
T is an equivalence relation but S is not an equivalence relation
Neither S nor T is an equivalence relation
Both S and T are equivalence relation
S is an equivalence relation but T is not an equivalence relation.
Solution
T is an equivalence relation but S is not an equivalence relation
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