Multiple choice general knowledge math & puzzles

Let R be the real line. Consider the following subsets of the plane R × R. S = {(x, y) : y = x + 1 and 0 < t =" {(x,">

  1. neither S nor T is an equivalence relation on R

  2. both S and T are equivalence relations on R

  3. S is an equivalence relation on R but T is not

  4. T is an equivalence relation on R but S is not
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The question text is truncated, but typically in these problems, S (y=x+1) is not reflexive (x=x+1 is false), so it's not an equivalence relation. T (usually x-y is an integer) is reflexive, symmetric, and transitive, making it an equivalence relation.

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