Let z be the set of integers and R be the equivalence relation on ZxZ defined by: (a.b)R(c.d) if and only if a+d=b+c. Then * O (1,3)1-[(2,4)] O [(1,3)=[(2,2)] O (1,3))=((1,3)} None of these O [(1,3))=[(1,2)]
Let z be the set of integers and R be the equivalence relation on ZxZ defined by: (a.b)R(c.d) if and only if a+d=b+c. Then * O (1,3)1-[(2,4)] O [(1,3)=[(2,2)] O (1,3))=((1,3)} None of these O [(1,3))=[(1,2)]
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 4TFE: Label each of the following statements as either true or false. If R is an equivalence relation on a...
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