2 Explain why the relation on N defined as is not an equivalence relation. {(x,y): +y is a multiple of 3}
2 Explain why the relation on N defined as is not an equivalence relation. {(x,y): +y is a multiple of 3}
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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![2 Explain why the relation on N defined as
is not an equivalence relation.
{(x, y): x+y is a multiple of 3}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7a67a420-4d87-4d28-b575-bbe5af15b088%2F3a096ce7-c7d7-4d1e-b81f-2f1d5e241d09%2Ffb7f03p_processed.png&w=3840&q=75)
Transcribed Image Text:2 Explain why the relation on N defined as
is not an equivalence relation.
{(x, y): x+y is a multiple of 3}
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