Let and . Define and . List the ordered pair(s) that must be added to so that becomes…

MATHEMATICS · Subjective · CBSE · Mathematics · Relations and Functions · Relations and Functions

Problem

Let

A=\{1,2\}

and

B=\{1,2\}

. Define

R=\{(1,1),(1,2),(2,1)\}

and

S=\{(1,1)\}

. List the ordered pair(s) that must be added to

S

so that

R

becomes a subrelation of

S

. Give the smallest such set of ordered pairs.