What is a venn diagram? How is it solved?

Asked by ashutosh.pau | 6th Nov, 2014, 09:27: PM

Expert Answer:

Venn diagram is a pictorial representation of sets.
 
It consists of two or more circles, each representing a set.
 
This process of visualizing the problem is devised by John Venn and hence the name Venn diagram.
 
Example.
 
L e t space U equals open curly brackets 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 close curly brackets A equals open curly brackets 1 comma 3 comma 5 comma 7 close curly brackets B equals open curly brackets 1 comma 2 comma 3 comma 4 comma 5 close curly brackets L e t space u s space f i n d space A union B comma space A intersection B comma space A to the power of C comma space B to the power of C space t h r o u g h space V e n n space d i a g r a m s comma
R e c tan g l e space i s space t h e space U n i v e r s a l space s e t. space T h u s comma space A intersection B space i s space m a r k e d space w h e n space t w o space c i r c l e s space o v e r l a p space a n d space t h e space e l e m e n t s space i n space t h e space o v e r l a p p i n g space r e g i o n space a r e space t h e e l e m e n t s space o f space A intersection B. T h u s comma space A intersection B equals open curly brackets 1 comma 3 comma 5 close curly brackets A union B space i s space m a r k e d space w h e n space t h e space e l e m e n t s space i n space b o t h space t h e space c i r c l e s space c o m b i n e space a n d space h e n c e A union B equals open curly brackets 1 comma 2 comma 3 comma 4 comma 5 comma 7 close curly brackets T h e space e l e m e n t s space i n space A to the power of C space end exponent space a r e space t h e space e l e m e n t s space i n space B space a n d space U space a n d space n o t space i n space A A to the power of C equals open curly brackets 2 comma 4 comma 6 comma 8 comma 9 comma 10 close curly brackets T h e space e l e m e n t s space i n space B to the power of C space end exponent space a r e space t h e space e l e m e n t s space i n space A space a n d space U space a n d space n o t space i n space B B to the power of C equals open curly brackets 6 comma 7 comma 8 comma 9 comma 10 close curly brackets

Answered by Vimala Ramamurthy | 7th Nov, 2014, 09:47: PM

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