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8. 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).

8. 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).

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 28E
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8. 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).
Transcribed Image Text:8. 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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