The relation “>” in the set of N (Natural number) is(A) Symmetric(

1.	The relation “>” in the set of N (Natural number) is(A) Symmetric(B) Reflexive(C) Transitive(D) Equivalent relation
Answer» (C) Transitive For any a ∈ N, a ≯ a ∴ (a, a) ∉ R ∴ > is not reflexive. For any a, b ∈ N, if a > b, then b ≯ a. ∴ > is not symmetric. For any a, b, c ∈ N, if a > b and b > c, then a > c ∴ > is transitive.

The relation “>” in the set of N (Natural number) is(A) Symmetric(B) Reflexive(C) Transitive(D) Equivalent relation

Answer»

(C) Transitive

For any a ∈ N, a ≯ a

∴ (a, a) ∉ R

∴ > is not reflexive.

For any a, b ∈ N, if a > b, then b ≯ a.

∴ > is not symmetric.

For any a, b, c ∈ N,

if a > b and b > c, then a > c

∴ > is transitive.