Please give me right solution for part B.. and get thumb up.. Task 2. () Determine if the following relations are equivalence relations. If they are, prove it. If not, specifywhy.a) For a,b € Z, aRb a³ + 36² € 4Zb) For z, y € R+, zRy (3kez) In ()=k

A relation is said to be equivalence relation is it is reflexive, symmetric and transitive. if R is…

Answered: Task 2.) Determine if the following…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 12E: Let and be lines in a plane. Decide in each case whether or not is an equivalence relation, and...

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Task 2.) Determine if the following relations are equivalence relations. If they are, prove it. If not, specify why. a) For a, b € Z, aRb a³ +36² € 4Z b) For z, y € R., zRy (3kez) In () = k