e , (L1, L2) ∈ R, (L2, L3) ∈ R but (L1, L3) ∉ R Example 4 Show that the relation R in the set {1, 2, 3} given by R = {(1, 1), (2, 2),
(3, 3), (1, 2), (2, 3)} is reflexive but neither symmetric nor transitive Solution R is reflexive, since (1, 1), (2, 2) and (3, 3) lie in R