Which of the following correctly describes the equivalence class of an element in a…

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

Problem

Which of the following correctly describes the equivalence class

[a]

of an element

a

in a set

A

with respect to an equivalence relation

R

A

? (a)

[a]=\{x\in A\mid x\,R\,x\}

(b)

[a]=\{x\in A\mid x\,R\,a,\;x\neq a\}

(c)

[a]=\{x\in A\mid x\,R\,a\}

(d)

[a]=\{a\}