Let `R` be the equivalence relation in the set `A={0,1,2,3,4,5}` given by `R={(a ,b):d i v i d e s(a-b)}dot` Write the equivalence class [0].

Explanation

Set `A={0,1,2,3,4,5}`


`R` be the equivalence relation on `A`.


Set `R={(a, b) 2` divides `(a-b)}`


We have to find equivalnce class [0]


To find equivalence class `0`,put `b=0`


`Rightarrow` a `-0` is multiple of `2` .


`Rightarrow a` is multiple of `2` .


Multiples of `2` in given set are `0,2` and `4` .


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