Question

Let $R _ { 1 }$ be a relation defined by $R _ { 1 } = \{ ( a , b ) \mid a \geq b , a , b \in R \}$. Then $R _ { 1 }$ is

• A. An equivalence relation on R
• B. Reflexive, transitive but not symmetric
• C. Symmetric, Transitive but not reflexive
• D. Neither transitive not reflexive but symmetric

Answer 1

Answer: (B)

Reflexive, transitive but not symmetric

Answer 2

For any $a \in R$, we have $b \geq c$which is turn imply that $a \geq c$.