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## Main Question or Discussion Point

I have a question.....

"Is the quotient set of a set S relative to a equivalence relation on S a subset of S?"

I suppose "no",since the each member of the quotient set is a subset of S and consequently it is a subset of the power set of S,but I have e book saying that "yes",I am a bit confused,can any one ensure me??????

"Is the quotient set of a set S relative to a equivalence relation on S a subset of S?"

I suppose "no",since the each member of the quotient set is a subset of S and consequently it is a subset of the power set of S,but I have e book saying that "yes",I am a bit confused,can any one ensure me??????