Consider the set A = {2, 3, 5, 10, 14, 19, 21} and the relation Va, b A, a Rb a = b mod 8. List all distinct equivalence classes of the relation R on the set A in roster notation. Pick one element of A to represent each distinct equivalence class.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 3E: a. Let R be the equivalence relation defined on Z in Example 2, and write out the elements of the...
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Consider the set A =
Va, b A, a Rb
{2, 3, 5, 10, 14, 19, 21} and the relation
a = b mod 8.
List all distinct equivalence classes of the relation R on the set A in roster notation. Pick one
element of A to represent each distinct equivalence class.
Transcribed Image Text:Consider the set A = Va, b A, a Rb {2, 3, 5, 10, 14, 19, 21} and the relation a = b mod 8. List all distinct equivalence classes of the relation R on the set A in roster notation. Pick one element of A to represent each distinct equivalence class.
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