Let A = {a, b, c, d} and define a relation R on A as follows: R = {(a, a), (b, b), (b, d), (c, c), (d, b), (d, d)}. It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. [a] = [b] = [c] = [d] = How many distinct equivalence classes does R have? classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 10E: In Exercises , a relation is defined on the set of all integers. In each case, prove that is an...
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Let A = {a, b, c, d} and define a relation R on A as follows:
R = {(a, a), (b, b), (b, d), (c, c), (d, b), (d, d)}.
It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R.
[a] =
[b] =
[c] =
[d] =
How many distinct equivalence classes does R have?
classes
List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
Transcribed Image Text:Let A = {a, b, c, d} and define a relation R on A as follows: R = {(a, a), (b, b), (b, d), (c, c), (d, b), (d, d)}. It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. [a] = [b] = [c] = [d] = How many distinct equivalence classes does R have? classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
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