Venn Diagram for Different Situation
Venn diagram for different situation :The shaded region represents the relation between the sets.
The shaded region represents the relation between the sets.
1) A’ -----> Complement of set A.
2) B’ -----> Complement of set B.
3) A ∪ B
4) (A ∪ B )’ -------> Complement of union set.
5) A ∩ B
6) ( A ∩ B)’ -------> Complement of intersection set.
7) ( A – B) -----> Difference of the two sets.
Example :
From the given Venn diagram,find :
| 1) Set A 2) Set B 3) A ∪ B 4) A ∩ B 5) A' 6) B' 7) A - B 8) B - A 9) ( A ∪ B)' |
|
ξ = { 1,2,3,4,5,6,7,8,9,10,11,12 }
1) A = { 1,2,3,4,5,6}
2) B = { 4,5,6,7,8,9}
3) A ∪ B = { 1,2,3,4,5,6,7,8,9}
4) A ∩ B = { 4,5,6}
5) A' = { 7,8,9,10,11,12}
6) B' = { 1,2,3,10,11,12 }
7) A - B = {1,2,3}
8) B - A = { 7,8,9}
9) ( A ∪ B)' = {10,11,12}
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1) Draw a Venn diagram for each of the following :
1) A'∩ B'.
2) A'.
2) Use Venn diagram : In a school, there are 20 teachers who teach Mathematics or English. Of these, 12 teach Mathematics and 4 teach both English and Mathematics. How many teach English only?
3) A and B are two sets. n(A) = 17,n(B) = 23 and n(A ∩ B).
Find n(A ∪B).
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 diagram for different situations
• Problems on Intersection of Two Sets
• Problems on Intersection of Three Sets