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(3) Perform the following set operations and represent them graphically using Venn diagrams:

 

Given A= {0,1,2}, B={0,1,{2}} C={4,5} represent and calculate the following operations:


1. [Exercise 21] A ∩ B

 

Venn Diagram 1

Solution:

A ∩ B= {0, 1}


2. [Exercise 22] A ∪ B

Venn Diagram 2

Solution:

A ∪ B={0,1,2, {2}}


3. [Exercise 23] A - C
4. [Exercise 24] A ∪ B ∪ C


5. [Exercise 25] A ∩ (B ∪ C)

Venn Diagram 3

Solution:

A ∩ (B ∪ C)={0,1}

6. [Exercise 26] (B ∪ C ) - (A ∩ B )

 

7. [Exercise 27] P (A) ∩ B

Venn Diagram 4

Solution:

P (A) ∩ B={{2}}

 

8. [Exercise 28] A ∪ (B ∩ C)- A ∩ (B ∪ C)

9. [Exercise 29] A ∩ A - A ∪ A

Venn Diagram 5

 

10. [Exercise 30] [A ∪ (B ∩ C)- A ∩ (B ∪ C)] - [(B ∪ C ) - (A ∩ B )]

 

 

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