Let R be a reflexive relation on a finite set | vedclass

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(A) relation $R$ on a set $A$ is reflexive if for every element $a \in A$,the ordered pair $(a, a) \in R$.Since the set $A$ contains $n$ elements,ther

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$m \ge n$

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(A) relation $R$ on a set $A$ is reflexive if for every element $a \in A$,the ordered pair $(a, a) \in R$.Since the set $A$ contains $n$ elements,there must be at least $n$ ordered pairs of the form $(a, a)$ in $R$ to satisfy the reflexive property.These $n$ pairs are $(a_1, a_1), (a_2, a_2), \dots, (a_n, a_n)$.Therefore,the number of ordered pairs $m$ in $R$ must be greater than or equal to $n$.Thus,$m \ge n$.

Let $R$ be a reflexive relation on a finite set $A$ containing $n$ elements,and let $R$ contain $m$ ordered pairs. Then,

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