Question

2. Let R be the relation in the set {1, 2, 3, 4} given by
R= {(1, 2), (3, 2), (4,4)}
then check whether the relation R is transitive or not.

Answer 1

Answer:

Transitive

Step-by-step explanation:

Because if (a, b) and (b, c) belongs to set then (a, c) must belong to the set for transitive relation

Answer 2

Step-by-step explanation:

Hence, the set R is a reflexive relation. The set contains (1, 2) but it does not contain its counterpart, that is (2, 1), so it is not symmetric. The set contains (1, 3), (3, 2) and (1, 2), so it is transitive by condition (3). Therefore, the set is reflexive and transitive but not symmetric