The smallest equivalence relation on the set
Question:

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

Solution:

Given: A = {a, b, c, d}

Identity relation is the smallest equivalence relation.

Therefore, R = {(aa), (bb), (cc)} is the smallest equivalence relation.

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

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