Question

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?(a) Neither S nor T is an equivalence relation on R(b) Both S and T are equivalence relation on R(c) S is an equivalence relation on R but T is not(d) T is an equivalence relation on R but S is not

Answer 1

Which one of the following is true?(a) Neither S nor T is an equivalence relation on R(b) Both S and T are equivalence relation on R(c) S is an equivalence relation on R but T is not(d) T is an equivalence relation on R but S is not