# 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)' |

**Solution :**

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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**Practice**

**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).

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

• 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