Prove that every identity relation on a set is reflexive, but the converse is not necessarily true.

Explanation

Let `A = {a,b,c}`

Let `I_A` is an identity relation of `A`.

Then, `I_A = {(a,a) , a in A}.`

So, identity relation will be reflexive.



Let `R` is a reflexive relation such that,

`R = {(a,a),(b,b),(c,c),(a,b),(b,c)}`

`R` contains `(a,b) and (b,c)` which are not elements of an identity relation.

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