John Venn was a British Mathematician(1834- 1923) who developed the idea of using diagram to represent sets.

Leonhard Euler (1707- 1783) also used diagrams to represent sets. So these diagrams are also called a

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} , A = { 1, 2, 5} and

B={1, 2, 3, 4, 5, 6} So A ⊂ B.

This can be represented by venn-diagram as follow :

Q.1 Represent the following by Venn-diagram.

1) Set A = { 6, 5, 4, 3, 2, 1}.

2) Set B = { x| x is a vowel in the word “THESAURUS”}.

3) Set P = { x| x ∈ N, x ≤ 8 }.

Q.2 Observe the Venn-diagram and then write the following in Set-Builder form :

1)

2)

3)

Q.1 ----> 1)

2)

3)

Q.2 --->

1) A = { x| x ∈ N, x ≤ 5}

2) B = { x | x ∈ N, x is a multiple of 3 and x ≤ 15}.

3) C = { x | x is a vowels }

• Sets

• Representation of Set

• Cardinal Number

• Types of Sets

• Pairs of Sets

• Subset

• Complement of Set

• Union of the Sets

• Intersection of Sets

• Operations on Sets

• De Morgan's Law

• Venn Diagrams

• Venn-diagrams for sets

• Venn-diagrams for different situations

• Problems on Intersection of Two Sets

• Problems on Intersection of Three Sets

GMAT

GRE

1st Grade

2nd Grade

3rd Grade

4th Grade

5th Grade

6th Grade

Worksheets

Chapterwise Test

MCQ's

Math Dictionary

Graph Dictionary

Multiplicative tables

Math Teasers

NTSE

Chinese Numbers

CBSE Sample Papers