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

Explanation

To prove that every identity relation on a set is reflexive, but the converse is not necessarily true, we can follow these steps:

### Step 1: Define the Identity Relation
The identity relation on a set \( A \) is defined as the set of ordered pairs \( (x, x) \) for every element \( x \) in \( A \). This can be represented as:
\[ I = \{ (x, x) \mid x \in A \} \]