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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