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 }
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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