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Question: Answered & Verified by Expert
The relation "less than" in the set of natural numbers is
MathematicsSets and RelationsJEE Main
Options:
  • A only symmetric
  • B only transitive
  • C only reflexive
  • D an equivalence relation
Solution:
2881 Upvotes Verified Answer
The correct answer is: only transitive
Since,  x<y, y<zx<zx, y, zN

x R y, yR zx 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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