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Venn Diagrams

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Venn Diagrams - Lesson Summary

A Venn diagram is a visual representation of sets.

 
The concept of Venn diagrams was introduced by an English mathematician, John Venn.

Venn diagrams are represented with the help of closed figures such as circles, ellipses and rectangles.

Venn diagram for the sets A = {2, 5, 6, 7}, B = {3, 8, 9, 10}
 
One of the universal sets of these two sets is the set of natural numbers.
 
Universal set: N


 
Example
            A = Set of prime numbers less than 10

            B=Set of prime divisors of 26

A = {2, 3, 5, 7}
B = {2, 13}

These sets are represented in circles A and B as shown.
 
The element common to both the sets is two.
 
So, the circles overlap on each other
 
The common region of the two circles will have the element two, which is common to both the circles.
 

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