Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)}. R is:

Let R be the relation in the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)}. R is:

• A. reflexive and symmetric
• B. reflexive and transitive
• C. symmetric and transitive
• D. equivalence relation

Answer: B) reflexive and transitive

Explanation: (3, 3), (2, 2), (4, 4), (1, 1) are present → reflexive. Check transitivity: (1, 3) and (3, 2) → (1, 2) present; (1, 2) and (2, 2) → (1, 2) present; (3, 2) and (2, 2) → (3, 2) present; (1, 3) and (3, 3) → (1, 3) present; etc. Transitive. Not symmetric: (1, 2) ∈ R but (2, 1) ∉ R. So reflexive and transitive.