Let A = {p , q, r, s, t, u, v}, and let R be the following equivalence relation on A: R = { (p, p) , (q, q) , (r, r) , (s, s) , (t, t) , (u, u) , (v, v) , (p, q) , (q, p) , (q, t) , (t, q) , (r, v) , (v, r) , (p, t), (t, p) }. Write out each equivalence class as a set of elements. Then abbreviate each equivalence class by choosing some representative of that class and bracketing it (this bracketed element “represents” the whole class).

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Q: y) ∈ R mean

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A: I have solved both subpart using basic definition of equivalence relation and equivalence class.

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