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 = {(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)}.