Maths-

General

Easy

Question

# Let be a relation defined by Then R is

- An equivalence relation on R
- Reflexive, transitive but not symmetric
- Symmetric, Transitive but not reflexive
- Neither transitive nor reflexive but symmetric

## The correct answer is: Reflexive, transitive but not symmetric

### To define the given relation.

Relation R is reflexive because, For any a ϵ R, we have a ≥ a.

Relation R is not symmetric as (2, 1) ϵ R but (1, 2) ∉ R.

Relation R is transitive, because (a, b) ϵ R, (b, c) ϵ R implies that a ≥ b and b ≥ c which further implies that a ≥ c.

Hence, the given relation is Reflexive, transitive but not symmetric.

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