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

Answer

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

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