Question

Let $A=\{2,3,4,5\}$ and let $R=\left\{\right(2,2),(3,3),(4,4),(5,5),(2,3),(3,2),(3,5),(5,3\left)\right\}$ be a relation in $A$. Then $R$ is

• A. Reflexive and transitive
• B. Reflexive and symmetric
• C. Reflexive and antisymmetric
• D. none of these

Answer 1

Answer: (B)

Reflexive and symmetric

Since $(a,b)$ and $(b,a)$ elements exist, hence the relation is symmetric.
Also
$(a,a)$ type elements exist. Hence the relation is reflexive.
Hence answer is Option B.