NTA Abhyas JEE Main2020MathematicsSets and RelationsPractice

The relation "less than" in the set of natural numbers is

Options

Aonly symmetric
Bonly transitive
Conly reflexive
Dan equivalence relation

Correct answer

B. only transitive

Step-by-step solution

Since, x < y , y < z ⇒ x < z ∀ x , y , z ∈ N ∴ x R y , y R z ⇒ x R z , ∴ Relation is transitive, ∵ x < y does not give y < x , ∴ Relation is not symmetric. Since, x < x does not hold, hence the relation is not reflexive.

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