3 For the equivalence relation on {0, 1,2,3,4} defined as{(x, y) : x +y is even}(a) Write it out as a list of ordered pairs(b) List the cells in the associated partition.

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Answered: 3 For the equivalence relation on {0,…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.3: Subgroups

Problem 23E: 23. Let be the equivalence relation on defined by if and only if there exists an element in ...

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3 For the equivalence relation on {0, 1,2,3,4} defined as {(x, y): z+y is even} (a) Write it out as a list of ordered pairs (b) List the cells in the associated partition.