Let . Two relations on are given by and . Determine whether is a subrelation of .…

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

Problem

Let

A=\{a,b,c\}

. Two relations on

A

are given by

R=\{(a,b),(b,c)\}

and

S=\{(a,b),(b,c),(c,a)\}

. Determine whether

R

is a subrelation of

S

. Give a brief reason for your answer.