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Activity: To Represent Set Theoretic Operations Using Venn Diagrams

The document outlines an activity aimed at representing set theoretic operations using Venn diagrams. It details the construction method, including the use of rectangular strips and circles to illustrate various set operations such as union, intersection, and complements. Additionally, it emphasizes the application of these representations in logic and mathematics.

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rishi.barchha
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104 views4 pages

Activity: To Represent Set Theoretic Operations Using Venn Diagrams

The document outlines an activity aimed at representing set theoretic operations using Venn diagrams. It details the construction method, including the use of rectangular strips and circles to illustrate various set operations such as union, intersection, and complements. Additionally, it emphasizes the application of these representations in logic and mathematics.

Uploaded by

rishi.barchha
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Activity 1

OBJECTIVE
To represent set theoretic operations using Venn diagrams.

METHOD OF CONSTRUCTION
1. Cut rectangular strips from a sheet of paper and paste them on a hardboard.
Write the symbol U in the left/right top corner of each rectangle.
2. Draw circles A and B inside each of the rectangular strips and shade/colour
different portions as shown in Fig. 3.1 to Fig. 3.10.

DEMONSTRATION
1. U denotes the universal set represented by the rectangle.
2. Circles A and B represent the subsets of the universal set U as shown in the
figures 3.1 to 3.10.
3. A′ denote the complement of the set A, and B′ denote the complement of
the set B as shown in the Fig. 3.3 and Fig. 3.4.
4. Coloured portion in Fig. 3.1. represents A ∪ B.
5. Coloured portion in Fig. 3.2. represents A ∩ B.

6. Coloured portion in Fig. 3.3 represents A′

7. Coloured portion in Fig. 3.4 represents B′

8. Coloured portion in Fig. 3.5 represents (A ∩ B)′


9. Coloured portion in Fig. 3.6 represents (A ∪ B)′

10. Coloured portion in Fig. 3.7 represents A′ ∩ B which is same as B – A.

11. Coloured portion in Fig. 3.8 represents A′ ∪ B.


12. Fig. 3.9 shows A ∩ B = φ

13. Fig. 3.10 shows A ⊂ B

OBSERVATION
1. Coloured portion in Fig. 3.1, represents ______________
2. Coloured portion in Fig. 3.2, represents ______________
3. Coloured portion in Fig. 3.3, represents ______________
4. Coloured portion in Fig. 3.4, represents ______________
5. Coloured portion in Fig. 3.5, represents ______________
6. Coloured portion in Fig. 3.6, represents ______________
7. Coloured portion in Fig. 3.7, represents ______________
8. Coloured portion in Fig. 3.8, represents ______________
9. Fig. 3.9, shows that (A ∩ B) = ______________
10. Fig. 3.10, represents A ______________ B.
APPLICATION
Set theoretic representation of Venn diagrams are used in Logic and Mathematics.

Mathematics

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