The equivalence classes of an equivalence relation on a set form a partition of the set Equivalence relation =partition R={(1,1)(2,2)3)(4 and let Example: LetA=(1, 2, 3, 4) (1,3),(2,4),(3,1),(4,2)} is an equivalence relation Then the equivalence classes areThe equivalence classes of an equivalence relation on a set form a partition of the set. Equivalence relation partition Example:Let A={1,2,3,4}, and let R={(1,1),(2,2),(3,3),(4,4), (1,3),(2,4),(3,1),(4,2)} is an equivalence relation. Then the equivalence classes are: