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Set Notation

How To Write Set Notation for set properties such as:

Union - Elements in Set A or Set B
Intersection - Elements in Set A and Set B
Cardinality - the count of elements within the set
Elements - Items within set. Can be numeric or objects
Empty Set - The set of nothing
Such That - Defining which elements belong to a set
Universal Set - The set of all possible values
Complement - Everything not in the set in the Universal Set
Subset - A subset is a set of elements which are all an element of another set