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if a super set Y involves a proper subset x......is that, the proper subset x, integral, to Y as a superset? or can Y as superset Y be without a proper subset in the set superset Y?

Answer :

Whenever a set X is a subset of set Y, we say the Y is a superset of X and we write, Y ⊇ AX.

Symbol ⊇ is used to denote ‘is a super set of’

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