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5. Define a relation R on the set of real numbers by (x, y) ER if and only if |1 – y <3. Is this relation reflexive? Is it symmetric? Is it transitive? Is this an equivalence relation? Justify your arguments.
5. Define a relation on Q-{0} as follows: In -= 2for some keZ. Prove that this is an equivalence relation.
6. Let be a relation on Z defined as follows: a b if and only if 2a+36 is divisible by 5. (a) Show that is an equivalence relation. (b) What is the equivalence class of 0 ?