Consider the set and the relation on given by if

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

Problem

Consider the set

B=\{1,2,\dots ,12\}

and the relation

R

B

given by

a\,R\,b

a\equiv b\pmod{3}

. (i) Write the equivalence class

[2]

. (ii) Determine the size of

[2]

within the set

B