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Write the Smallest Reflexive Relation on Set a = {1, 2, 3, 4}.

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Question

Write the smallest reflexive relation on set A = {1, 2, 3, 4}.

One Line Answer
Sum
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Solution

Here,
A = {1, 2, 3, 4}
Also, a relation is reflexive iff every element of the set is related to itself.

So, the smallest reflexive relation on the set A is
R = {(1, 1), (2, 2), (3, 3), (4, 4)}

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Chapter 1: Relations - Exercise 1.3 [Page 30]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 1 Relations
Exercise 1.3 | Q 4 | Page 30

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