Part i 6. Suppose A is the set of counties in Leinster.(i) Give an example of a relation on A that is an equivalence relation. Prove that yourexample is an equivalence relation.(ii) Give an example of a relation on A that is not an equivalence relation. Prove thatyour example is not an equivalence relation.

Step 1: (i) Example of an Equivalence Relation on A Definition of an Equivalence RelationOne kind of…

Answered: 6. Suppose A is the set of counties in…

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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