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Set Theoretic Operations

Concept: Union

The union of two sets A and B forms a new set, denoted by A B, which contains all the elements which are members of A or members of B, or members of both A and B.

Graphic Representation

The area shaded in orange represents
A B.

Note: U represents the universal set, or universe.


Example

If A = {1,2,3,4} and B = {3,4,5,6}, then A B = {1,2,3,4,5,6}. C = {1,3,5,7,8}.

Note: The union operation can be performed on more than just two sets.

The area shaded in orange represents
A B C.


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