Introduction to Sets

We at ask-math believe that educational material should be free for everyone. Please use the content of this website for in-depth understanding of the concepts. Additionally, we have created and posted videos on our youtube.

We also offer One to One / Group Tutoring sessions / Homework help for Mathematics from Grade 4th to 12th for algebra, geometry, trigonometry, pre-calculus, and calculus for US, UK, Europe, South east Asia and UAE students.

Affiliations with Schools & Educational institutions are also welcome.

Please reach out to us on [email protected] / Whatsapp +919998367796 / Skype id: anitagovilkar.abhijit

We will be happy to post videos as per your requirements also. Do write to us.

The concept of sets is important in all branches of modern mathematics. This concept is used in Physics,Chemistry, all Engineering sciences and even in Medical science now-a-days. The mathematician George Cantor has major contribution in introducing and developing the concept of set.

A collection of well-defined distinct objects is called a set.

For example

1) Collection of all positive even integers is a set. 2 is in this set and 1 is not in this set.

2) The collection of all obese persons in any city is not a set, as there is no definite criteria for obesity.

Thus, a set is to be understood as a definite collection.

Example :

1) A deck of 52 playing cards.

2) The names of the days of a week.

3) A set of instruments on a geometry box.

The objects of a set are called its elements or members.

If N represents the set of natural numbers . 1,2,3,4,5 ,6,…

So 1,2,3,… are elements of the set N.

Here as 4 is a member of the set A then we write 4 ∈ A and read as 4 belongs to set A or 4 is in an element of set A.

If 0 is not a member of set A then we write 0 ∉ A and read as 0 does not belong to set A.

Important set in Mathematics

1) Set of natural numbers = N = { 1,2,3,4,5,…}

2) Set of whole numbers = W = { 0,1,2,3,… }

3) Set of integers = Z = {…, -3,-2,-1,0,1,2,3, … }

4) Set of rational numbers = Q = { 2 / 3 , -5 / 7, -10 / -3,…} . The elements of this set is in p/q form.

5) Set of real numbers = R = { all whole numbers, integers, rational and irrational numbers}

6) Set of all positive numbers = Z+
Set Theory

• Sets
• Representation of-Set
• Cardinal Number
• Types of -Set
• Pairs of -Set
• Subset
• Complement-Set
• Union of the-Set
• Intersection-set
• Operations on-Set
• De Morgan's Law
• Venn Diagrams
• Venn-diagrams for set
• Venn-diagrams for different situations
• Problems on Intersection of Two-Set
• Problems on Intersection three-set

From sets to 11th grade math

Home Page

Russia-Ukraine crisis update - 3rd Mar 2022

The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.