Subset of a Set - Learn Alberta
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A subset is a set whose elements are all members of another set. The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".
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SubsetofaSet
Definition
Asubsetisasetwhoseelementsareallmembersofanotherset.
Thesymbol"⊆"means"isasubsetof".
Thesymbol"⊂"means"isapropersubsetof".
Example
SinceallofthemembersofsetAaremembersofsetD,AisasubsetofD.SymbolicallythisisrepresentedasA⊆D.
NotethatA⊆Dimpliesthatn(A)≤n(D)(i.e.3≤6).
NotethatAisalsoapropersubsetofDsincesetDhasmembersthatdonotbelongtosetA(A≠D).SymbolicallythisisrepresentedasA⊂D.
NotethatA⊂Dimpliesthatn(A)
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