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Sets & Relations: Relation Less Set Natural Numbers

JEE Maths question with a full step-by-step solution.

Question
The relation "less than" in the set of natural numbers is:
AOnly symmetric
BOnly transitivecorrect
COnly reflexive
DEquivalence relation
Solution
a≮a⇒a \not< a \Rightarrow not reflexive. a<b⇏b<a⇒a < b \not\Rightarrow b < a \Rightarrow not symmetric. a<ba < b and b<c⇒a<c⇒b < c \Rightarrow a < c \Rightarrow transitive. ∴\therefore "less than" is only transitive. Correct answer: (2)
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