Let and . Define R= (a,1),(b,2) , S= (a,1),(a,2),(b,2),(b,3) . Which one of the…

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

Problem

Let

A=\{a,b\}

and

B=\{1,2,3\}

. Define

R=\{(a,1),(b,2)\},\qquad S=\{(a,1),(a,2),(b,2),(b,3)\}.

Which one of the following statements is true? (a)

S

is a subrelation of

R

. (b) Both

R

and

S

are functions from

A

B

. (c)

R

is a subrelation of

S

. (d)

R

and

S

are not comparable by set inclusion.