Let R be the relation in the set {1, 2, 3} given by R={(1, 1), (2, 2), (3, 3), (1, 2), (2, 3)}. Choose the correct answer. |
R is symmetric and transitive R is reflexive but neither symmetric nor transitive R is symmetric but not reflexive R is transitive but not symmetric |
R is reflexive but neither symmetric nor transitive |
The correct answer is Option (2) → R is reflexive but neither symmetric nor transitive $(1, 1), (2, 2), (3, 3)∈R$ (Reflexive) $(1,2)∈R$ but $(2,1)∉R$ (Not symmetric) $(1,2)∈R, (2,3)∈R$ but $(1,3)∉R$ (Not transitive) |