Question

Given set A = {a, b, c}. An identity relation in set A is ____________.

Options

• R = {(a, b), (a, c)}

• R = {(a, a), (b, b), (c, c)}

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

• R = {(c, a), (b, a), (a, a)}

Answer 1

Given set A = {a, b, c}. An identity relation in set A is R = {(a, a), (b, b), (c, c)}.

Explanation:

A relation R is an identity relation in set A if for all a ∈ A, (a, a) ∈ R.