Question

Let $A = \{ 2,4,6,8 \}$. A relation R on A is defined by

$R = \{ ( 2,4 ) , ( 4,2 ) , ( 4,6 ) , ( 6,4 ) \}$ . Then R is

• A. Anti-symmetric
• B. Reflexive
• C. Symmetric
• D. Transitive

Answer 1

Answer: (C)

Symmetric

Answer 2

Given A = {2, 4, 6, 8}

R = {(2, 4)(4, 2) (4, 6) (6, 4)}

(a, b) ∈ R ⇒ (b, a) ∈ R and also $R ^ { - 1 } = R$.

Hence R is symmetric.