If R is a relation on the set A = {1, 2, 3} given by R = (1, 1), (2, 2), (3, 3), then R is
A. reflexive
B. symmetric
C. transitive
D. all the three options
If R is a relation on the set A = {1, 2, 3} given by R = (1, 1), (2, 2), (3, 3), then R is
A. reflexive
B. symmetric
C. transitive
D. all the three options
B. symmetric
C. transitive
D. all the three options
∵ An important property of equivalence is that it divides the set into pairwise disjoint subsets called equivalent classes whose collection is called a partition of the set. Note that the union of all equivalence classes gives the complete set.