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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