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Find AUB - Union of Sets

In the set operations, let's find A U B. The union of set A and B is the set that contains exactly all the elements that are in either A or B (or in both).

Union of Sets

The union of two sets A and B, denoted A∪B is the set of all elements that are found in A OR B (or both).

For two given sets A and B, A∪B (read as A union B) is the set of distinct elements that belong to set A and B or both. The number of elements in A ∪ B is given by n(A∪B) = n(A) + n(B) − n(A∩B), where n(X) is the number of elements in set X. To understand this set operation of the union of sets better, let us consider an example:


A = {1,2,3,6}

B = { 2,4,6,9}

A U B = { 1,2,3,4,6,9 }

Set Operations Table

Set OperationVenn DiagramInterpretation
UnionUnionA U B, is the set of all values that are a member of A, or B, or both.
IntersectionIntersectionA ∩ B, is the set of all values that are a member of both A and B.
DifferenceDifferenceA \ B, is the set of all values of A that are not members of B.
Symmetric DifferenceSymmetric DifferenceA ∆ B, is the set of all values which are in one of the sets but not both.
Union of Sets

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