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If A = {1, 2, 3, 4} Define Relations On A Which Have Properties of Being Reflexive, Symmetric and Transitive. ? - Mathematics

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Question

If = {1, 2, 3, 4} define relations on A which have properties of being reflexive, symmetric and transitive ?

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Solution

The relation on A having properties of being symmetric, reflexive and transitive is
R = {(1, 1), (2, 2), (3, 3), (4, 4), (1, 2), (2, 1)}
The relation R is an equivalence relation on A.

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Chapter 1: Relations - Exercise 1.1 [Page 11]

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RD Sharma Mathematics [English] Class 12
Chapter 1 Relations
Exercise 1.1 | Q 9.3 | Page 11

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