‹ Back to the paper
Choose the correct option.
A relation R on {1, 2, 3} is given by R = {(1, 1), (2, 2), (1, 2), (3, 3), (2, 3)}. Then the…
A relation $R$ on $\{1, 2, 3\}$ is given by $R = \{(1, 1), (2, 2), (1, 2), (3, 3), (2, 3)\}$. Then the relation $R$ is:
- (a)Reflexive.
- (b)Symmetric.
- (c)Transitive.
- (d)Symmetric and Transitive.
Answer
Answer
Correct option: (a)
Answer: (a) Reflexive.
$(1,1),(2,2),(3,3) \in R$, so $R$ is reflexive.
Not symmetric: $(1,2) \in R$ but $(2,1) \notin R$. Not transitive: $(1,2),(2,3) \in R$ but $(1,3) \notin R$.