Definition of Universal Set
An Universal Set of any set say A or B, may be defined as the set, that contains all the elements of set A or B, including its own elements without repetitions.
Symbol of Universal Set
There is no standard notation for the Universal Sets, but the most commonly used symbols for Universal Sets are V, U, and ξ.
Explanation of Universal Set
To understand the concept of Universal Set, let us consider a set A that consists of 4 elements as,
A = \{1, 2, 3, 4\}
And, let us consider another set B which also consists of 4 elements as,
B = \{9, 10, 11, 12\}
Then, the Universal Set U, will consist of all the elements present in set A and set B and also its own elements. Therefore, an Universal Set of the given two sets A and B will be,
U = \{1, 2, 3, 4, 9, 10, 11, 12, 13, 14\}
However, it is not necessary for an Universal Set to have its own elements. It can also be formed only by the elements of the sets A and B.
Venn Diagram of Universal Set
The figure below shows the Venn Diagram for Universal Set of the above two sets A and B.
Solved Examples on Universal Sets
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Frequently Asked Questions (FAQ)
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