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Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3) and define a relation R on A as follows: For all x, y EA, x Ry3|(x - y). It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. [0] = X [1] [2] [3] How many distinct equivalence classes does R have? 3 classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.) II "I

Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3) and define a relation R on A as follows: For all x, y EA, x Ry3|(x - y). It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. [0] = X [1] [2] [3] How many distinct equivalence classes does R have? 3 classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.) II "I

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 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 = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3} and define a relation R on A as follows: For all x, y E A, x R y 31(x - y). It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. [0] = [1] = [2] = [3] = How many distinct equivalence classes does R have? 3 classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
Transcribed Image Text:Let A = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3} and define a relation R on A as follows: For all x, y E A, x R y 31(x - y). It is a fact that R is an equivalence relation on A. Use set-roster notation to write the equivalence classes of R. [0] = [1] = [2] = [3] = How many distinct equivalence classes does R have? 3 classes List the distinct equivalence classes of R. (Enter your answer as a comma-separated list of sets.)
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