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JEE Main
Exam
JEE Main
Subject
Mathematics
Chapter
Sets and Relations

JEE Main · Mathematics · Sets and Relations

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

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

Options

  1. Aonly symmetric
  2. Bonly transitive
  3. Conly reflexive
  4. Dan equivalence relation

Correct answer

B. only transitive

Step-by-step solution

Since, x<y,y<z⇒x<z∀x,y,z∈Nx < y, y < z ⇒ x < z \forall x, y, z \in N

∴xRy,yRz⇒xRz∴xRy, yRz ⇒ xRz,

∴∴ Relation is transitive,

∵x<y∵x < y does not give y<xy < x,

∴∴ Relation is not symmetric.

Since, x<xx < x does not hold, hence the relation is not reflexive.
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