Question

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Answer 1

Explanation:

Identity relation;Let A be any set. Then the relation R={(x,x):x∈A} on A is called the identity relation on A. Thus, in an identity relation, every element is related to itself only.

For example, consider A={a,b,c} and define relations R1 and R2 as follows. R1={(a,a),(b,b),(c,c)}

R2={(a,a),(b,b),(c,c),(a,c)}Then R1 is an identity relation on A, but R2 is not an identity relation on A as the element a is related to a and c.