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Universal set
A set that contains all the elements related to a specific context
Subset
If every element of the first set is also an element in another set.
Proper subset
If every element of the first set is also an element of another set, but there is at least one element of the second set that is not in the first set.
Equal set
If and only if every element of a set is in another set, and vice versa.
Union set
Combining the elements.
Intersection set
The common elements
n(A) - n of A
The number of elements of the set
Complement
All the elements in universal set that are not in a.
Difference
All elements in A that are not in B.
Disjoint (empty set or null set)
No elements in common