Question
Write the smallest reflexive relation on set $A = \{1, 2, 3, 4\}.$
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Answer
The smallest reflexive relation $R$ on any set $A$ is the identity relation $I_A$ on the set $A.$
We are given$, A = \{1, 2, 3, 4\}$
$\therefore R = \{(1, 1), (2, 2), (3, 3), (4, 4)\}$
We are given$, A = \{1, 2, 3, 4\}$
$\therefore R = \{(1, 1), (2, 2), (3, 3), (4, 4)\}$
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