Let R be the relation on the set S = {1,2,3, a, b, c} given byxRy if and only if(г, у) € {(а, а), (1,1), (а, 1), (1, а), (3, 1), (1,3), (3, а), (а, 3), (ь, b), (b, 2), (2, с)} Justifying your answer, find the smallest set of related pairs which must beadded to R in order for it to become an equivalence relation.

Given R be the relation on the set S=1,2,3,a,b,c given by…

Answered: Let R be the relation on the set S =…

Let R be the relation on the set S = {1,2,3, a, b, c} given by xRy if and only if (а, у) € {(а, а), (1, 1), (а, 1), (1, а), (3, 1), (1,3), (3, а), (а, 3), (ь, Ь), (ь, 2), (2, с)}

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let R be the relation on the set S = {1,2,3, a, b, c} given by
xRy if and only if
(г, у) € {(а, а), (1,1), (а, 1), (1, а), (3, 1), (1,3), (3, а), (а, 3), (ь, b), (b, 2), (2, с)}

Justifying your answer, find the smallest set of related pairs which must be
added to R in order for it to become an equivalence relation.

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