Venn Diagrams

A venn diagrams is merely a closed figure and the points of the interior of closed figure represent the elements of the set under consideration. Generally, a curve like an oval or a circle or rectangle is used to represent the sets.

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 Venn-Euler diagrams.

Example :

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 :



Practice Test

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)










Answers :

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 }

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Set Theory

• 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
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