Select the following relations on Z that are equivalence relations.O{(a,b) | a>b-1}{(a,b) | a² = b² (mod m)}O{(a,b) | |a| = |b|}O{(a, b) | ab >0}{(a,b) a² + b² <2ab}

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Answered: Select the following relations on Z…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 5TFE: True or False Label each of the following statements as either true or false. Let be an equivalence...

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Select the following relations on Z that are equivalence relations. O{(a,b)|a>b-1} {(a,b) | a² = 6² (mod m)} O{(a, b) | |a| = |b|} {(a,b) | ab >0} {(a,b) | a² + b² <2ab}