Proper Subset - LearnAlberta.ca

Set A is a proper subset of set B (A ⊂ B) if all of the elements of set A are members of set B, but there is at least one element of set B that is not an ... Yourbrowserdoesnotsupportthecanvaselement. ProperSubset Definition SetAisapropersubsetofsetB(A⊂B)ifalloftheelementsofsetAaremembersofsetB,butthereisatleastoneelementofsetBthatisnotanmemberofsetA(A≠B). Example SinceallofthemembersofsetAaremembersofsetD,AisasubsetofD.SymbolicallythisisrepresentedasA⊆D. NotethatA⊆Dimpliesthatn(A)≤n(D)(i.e.3≤6). NotethatAisalsoapropersubsetofDsincesetDhasmembersthatdonotbelongtosetA(A≠D).SymbolicallythisisrepresentedasA⊂D. NotethatA⊂Dimpliesthatn(A)