Let A = {1, 2, 3} and R = {(1, 1), (1, 3), (3, 1), (2, 2), (2, 1), (3, 3)} be a relation on A. Then, R is :
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → Reflexive
$(1,1),(2,2),(3,3)∈R$ ⇒ R is reflexive
$(2, 1) ∈R$ but $(1,2)∉R$ ⇒ R is not symmetric
Because (2,1) and (1,3) are in R, but (2,3) is not in R. Therefore, it is not transitive.