Written On : **04-May-2013**
Author : **AD**
Member Level : **Platinum**
Category : **Screening Tests** Points : **20**

**
Want to know types of sets to prepare for NDA & NA examination? Read NDA & NA mathematics exam coaching material here.
**

Previous lesson : How sets are represented ?

Next lesson :

Sets can be divided into various types according to their properties. Let us see types of sets of Algebra here.

Next lesson :

Next lesson :

Sets can be divided into various types according to their properties. Let us see types of sets of Algebra here.

**Finite Set**: Finite set is a set whose elements can be counted or of fixed nature. Thus, set containing finite number of elements can be called as a finite set. For example, set A={2,3,4,5}. Here set A is a finite set with four elements.**Infinite Set**: Infinite set is a set whose elements can not be counted or of not fixed nature. Thus, set containing infinite number of elements called as an infinite set. For example, set N={1,2,3,4,...}. Here set N is an infinite set of natural numbers. Thus, it is not possible to count the number of elements of set N. Here N is an infinite set.**Singleton Set**: A set which has only one element is called as singleton set. For example, set A={4} is a singular set as the set A contain only one element i.e., 4.**Null set**: A set which does not have any elements can be called as a null set. A null set is also called as empty or void set. For example, A={x : x ≠ x, x ∈ N} = ∅. As the set A contains no element it may be called as a null set.**Subset**: If each element of a set say A exists in another set say B, then A can be called as a subset of B. For example, set A={1,2,3} and set B = {1,2,3,4,5}. Here, all elements of set A exist in set B. Thus, set A can be called as a subset of set B. This is denoted by A ⊆ B.**Proper subset**: Set A is called a proper subset of set B only if all elements of set A exist in set B and set B has at least one element which does not exist in set A. For example, set A={1,2,3} and Set B ={1,2,3,4}. In this case, set A is a proper subset of set B and denoted as A ⊂ B.

Next lesson :

Return to Article index

- Existing 500 and 1000 rupees no longer valid from today midnight - big blow to black money holders
- 12 Key Agreements Signed By PM Modi in Vietnam - Complete Vietnam Tour Details
- 10 Things You Must Not Do After AFCAT exam
- Scramjet Engine Successful Flight - Another Milestone for ISRO
- Sports Awards 2016 (Khel Ratna, Arjuna Awards, Dronacharya and Dhyan Chand Awards)

Now Don't Miss

SSB Interview Updates!

Get latest notifications, SSB dates, results and question paper updates instantly

Remember to check your inbox to confirm your subscription

## Comments

No comments received yet. Be first to comment.

Please sign in to comment.