Let A be a nonempty set and let R1 and R2 be equivalence relations on A. For each x E A, describe [x ]R1NR2 in terms of [ x ]R1 and [ x ]R2 Prove your answer.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 5TFE: True or False Label each of the following statements as either true or false. Let be an equivalence...
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Let A be a nonempty set and
let R1 and R2 be equivalence
relations on A.
For each x E A, describe
[x ]R1NR2
in terms of [x ]R1 and
[x ]R2
Prove your
answer.
Transcribed Image Text:Let A be a nonempty set and let R1 and R2 be equivalence relations on A. For each x E A, describe [x ]R1NR2 in terms of [x ]R1 and [x ]R2 Prove your answer.
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