Let and define the relation

MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

A=\{1,2,3\}=B

and define the relation

S=\{(x,y)\in A\times B\mid y\ge x\}

. For

k\in\{1,2,3\}

, consider the relation

R_k=\{(1,1),(2,k),(3,3)\}.

For which value(s) of

k

R_k

a subrelation of

S

? (a)

k=1

(b)

k=2 \text{ or } k=3

(c)

k=3

(d)

k=2