Question

The smallest equivalence relation on the set A = {a, b, c, d} is _________________________.

Answer 1

Given: A = {a, b, c, d}

Identity relation is the smallest equivalence relation.

Therefore, R = {(a, a), (b, b), (c, c)} is the smallest equivalence relation.

Hence, the smallest equivalence relation on the set A = {a, b, c, d} is {(a, a), (b, b), (c, c)}.