Can someone provide the proof for this question. TIA 1. Consider the relation R on the set A = {0,1, 2, 3, 4}, defined by:aRb + a = bc and b= ad, for some c, d e A.(a) Is R an equivalence relation on A? If so, prove it. If not, show why not.(b) Is R a partial ordering on A? If so, prove it and draw the Hasse diagram. If not,show why not.

The given set is A=0,1,2,3,4 and the relation is defined as aRb⇔a=bc and b=ad (a) Check whether R an…

Answered: 1. Consider the relation R on the set A…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 28E

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1. Consider the relation R on the set A = {0,1, 2, 3, 4}, defined by: %3D aRb + a = bc and b= ad, for some c, d e A. (a) Is R an equivalence relation on A? If so, prove it. If not, show why not. (b) Is R a partial ordering on A? If so, prove it and draw the Hasse diagram. If not, show why not.