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AIEEE - 2008

AIEEE-2008 (Answer & Solution) Aakash IIT-JEE 9. Let R be the real line. Consider the following subsets of the plane R × R: S = {(x, y) : y = x + 1 and 0 < x < 2} T = {(x, y) : x – y is an integer} Which one of the following is true ? (1) Neither S nor T is an equivalence relation on R (2) Both S and T are equivalence relations on R