Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

The relation ''less than'' in the set of natural numbers is:

Options:

Only symmetric

Only transitive

Only reflexive

Equivalence relation

Correct Answer:

Only transitive

Explanation:

For any $x∈R$

$x<x$ (not possible), not reflexive

$(x,y)∈R⇒(y,x)∈R$

$x<y⇒y<x$ → not symmetric

$(x,y)∈R⇒(y,z)∈R$

$x<y,\,y<z$ → transitive onle

$⇒(x,z)∈R$