Consider the set and the relation R= (a,b) A A a b

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

Problem

Consider the set

A=\{1,2,3\}

and the relation

R=\{(a,b)\in A\times A \mid a\le b\}.

Check whether

R

is (i) reflexive, (ii) symmetric, (iii) transitive. Hence decide whether

R

is an equivalence relation. Show your working briefly.