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A subset is a division of a set in which all members of the subset are members of the set. Examples: Men is a subset of the set people. Prime numbers is a subset of numbers.
The word pit best describes it.
An element is an item that belongs to a set.
the difference between a subset and a proper subset
Since ASCII ⊊ unicode, I don't know if there are ASCII codes for subset and proper subset. There are Unicode characters for subset and proper subset though: Subset: ⊂, ⊂, ⊂ Subset (or equal): ⊆, ⊆, ⊆ Proper subset: ⊊, ⊊,