## 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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