Table of Contents

## Definition of a Set

In mathematics and logic, a **Set** is an unorderly collection of objects or elements which may be mathematical or non-mathematical. A **Set** can be formed by any kind of objects like people, animals, letters, numbers, books, lines, or even other sets.

## Examples of Sets

Let, A is a set of colours and B is a set of numbers. Then, set A and set B can be written as:

A = \{blue, white, red, green\}

B = \{1, 2, 3, 4, 5, 6\}

The list of elements in a set is written within curly brackets ‘\{\}’.

The objects inside a set are called **elements**. For example, ‘blue’, ‘white’, ‘red’, ‘green’ are the elements of set A.

Similarly, ‘1’, ‘2’, ‘3’, ‘4’, ‘5’ and ‘6’ are the elements of set B.

## Types of sets

The various types of sets are given below:

- Empty Set
- Singleton Set
- Equal Set and Equivalent Set
- Finite Set
- Infinite Set
- Universal Set
- Subset and Superset
- Proper and Improper Subset

## Frequently Asked Questions (FAQ)

### How do you define a set?

A set can be defined as an unorderly collection of objects or elements which may be mathematical or non-mathematical.

### What are the types of sets?

The various types of sets are given below:

1. Empty Set

2. Singleton Set

3. Equal Set and Equivalent Set

4. Finite Set

5. Infinite Set

6. Universal Set

7. Subset and Superset

8. Proper and Improper Subset

### What are sets in maths?

In mathematics and logic, a **Set** is an unorderly collection of objects or elements which may be mathematical or non-mathematical. A **set** can be formed by any kind of object like people, animals, letters, numbers, books, lines, or even other sets.

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