# Venn Diagrams

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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) 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 }

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