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5. Let X be any finite set and define the relation R on P(X) by R = {(E, F) ||E| = |F|, E, F = P(X)}. If X = {a,b,c}, give the equivalence classes of the relation. Name each equivalence class with the correct notation, and list the elements of each.

5. Let X be any finite set and define the relation R on P(X) by R = {(E, F) ||E| = |F|, E, F = P(X)}. If X = {a,b,c}, give the equivalence classes of the relation. Name each equivalence class with the correct notation, and list the elements of each.

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 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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5. Let X be any finite set and define the relation R on P(X) by R = {(E, F) ||E| = |F|, E, F = P(X)}. If X = {a,b,c}, give the equivalence classes of the relation. Name each equivalence class with the correct notation, and list the elements of each.
Transcribed Image Text:5. Let X be any finite set and define the relation R on P(X) by R = {(E, F) ||E| = |F|, E, F = P(X)}. If X = {a,b,c}, give the equivalence classes of the relation. Name each equivalence class with the correct notation, and list the elements of each.
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