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If A = {1, 2, 3, 4} Define Relations On A Which Have Properties of Being Symmetric but Neither Reflexive Nor Transitive ?

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Question

If = {1, 2, 3, 4} define relations on A which have properties of being symmetric but neither reflexive nor transitive ?

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Solution

The relation on A having properties of being symmetric, but neither reflexive nor transitive is
R = {(1, 2), (2, 1)}
The relation R on A is neither reflexive nor transitive, but symmetric.

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Chapter 1: Relations - Exercise 1.1 [Page 11]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 1 Relations
Exercise 1.1 | Q 9.2 | Page 11

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