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

(A) Only symmetric

(B) Only transitive

(C) Only reflexive

(D) Equivalence relation

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SOLUTION : $x<y, y<z \quad \Rightarrow \quad x<z \forall x, y, z \in N$

$\therefore \quad x R y, y R z \quad \Rightarrow \quad x R z, \quad \therefore \text { Relation is transitive, } $

$\therefore \quad x<y \text { does not give } y<x .$

$\text { Relation is not symmetric. }$

$\text { Since } x<x \text { does not hold, hence relation is not reflexive. }$

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