G

B

Types of Sets 

Finite Set: Finite set is a set in which all its members can be specifically listed, that is, it has a countable number of members. For Example, A = {days of the week}

Infinite Set: Infinite set is a set that is uncountable. For example, B = {number that can be divided by 2}

Empty or null set: A set with no member. Its size or cardinality is zero. It is denoted by Ø or {}.

Subset and Superset: In mathematics, a set B is a subset of set A, if all elements of set B are also elements of set A. Set A is a superset of set B.

The intersection of Sets: The intersection of two sets A and B, denoted by A ∩ B, is the set containing all elements of A that also belong to B.



Disjoint Set: Two sets are said to be disjointed if they have no elements in common. Disjoint sets has no intersection. E.g. B ⋂ C = Ø

Universal set: This is a set (denoted by U) that contains all the elements of the related set, without any repetition of elements. If B and C are sets such that B = {1,2,3,4} and C = {a,d,c}, therefore their universal set is U = {1,2,3,4,a,d,c}.

Complementary Set: For a set A, a complementary set is a set (denoted by A') in a given universal set U that are not in set A. For example U' = ∅, that is, the complement of a universal set is an empty set.

Union of Sets: This is the collection of set, combined together. For example, if A = {1,2,3) and B = {6, 7, 8}, the union of A and B, A U B = {1,2,3,6,7,8}