Venn Diagrams

1. Presentation 1 Venn Diagrams: Example
Presentation 2 Venn Diagrams: Key Definitions
Presentation 3 Venn Diagrams: Illustrating Sets
Presentation 4 Venn Diagrams: Theoretical Example
Presentation 5 Venn Diagram: Practical Example

2. Venn Diagram: Example

3. Using the numbers 0, 1, 2, … , 9 illustrate the sets:
and
Solution: Use a Venn diagram

4. Using the numbers 0, 1, 2, … , 9 illustrate the sets:
and
A B
4 is in BOTH sides
4

5. Using the numbers 0, 1, 2, … , 9 illustrate the sets:
and
A B
7 and 9 are only in set A
4
7
9

6. Using the numbers 0, 1, 2, … , 9 illustrate the sets:
and
A B
1, 2, 3 and 5 are only in set B
4
7
9
1
2
3
5

7. Using the numbers 0, 1, 2, … , 9 illustrate the sets:
and
A B
0, 6 and 8 are not in A or B
4
7
9
1
2
3
5
0
6
8

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Venn Diagrams: Example
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Presentation 2 Venn Diagrams: Key Definitions
Presentation 3 Venn Diagrams: Illustrating Sets
Presentation 4 Venn Diagrams: Theoretical Example
Presentation 5 Venn Diagram: Practical Example

9. Venn Diagram: Key Definitions

10. A B
Intersection: Members of both set A and set B

11. A B
Union: Members of set A or set B or both

12. Complementary: Members not in the set
A
A’

13. Universal Set: All members
U

14. A
B
Subset: All members of set A are in set B

15. Number of elements in a set:
Empty set:

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Presentation 1 Venn Diagrams: Example
Presentation 3 Venn Diagrams: Illustrating Sets
Presentation 4 Venn Diagrams: Theoretical Example
Presentation 5 Venn Diagram: Practical Example

17. Venn Diagrams: Illustrating Sets

18. A B
U

19. A B
U

20. A B
U

21. A B
U

22. A B
U

23. A B
U

24. A B
U

25. A B
U

26. A B
U

27. A B
U

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Presentation 1 Venn Diagrams: Example
Presentation 2 Venn Diagrams: Key Definitions
Presentation 4 Venn Diagrams: Theoretical Example
Presentation 5 Venn Diagram: Practical Example

29. Venn Diagrams: Theoretical Example

30. A B
U
What is the shaded region?

31. A B
U
What is the shaded region?

32. A B
U
What is the shaded region?

33. A B
U
What is the shaded region?
C
)CA(B ∪∩

34. A B
U
What is the shaded region?
C
)'CBA( ∪∪

35. A B
U
What is the shaded region?
C
)B'C(A ∪∪

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Presentation 1 Venn Diagrams: Example
Presentation 2 Venn Diagrams: Key Definitions
Presentation 3 Venn Diagrams: Illustrating Sets
Presentation 5 Venn Diagrams: Practical Example

37. Venn Diagram: Practical Example

38. U = {Natural Numbers less than 16}
Describe set A and set B
A = {Even Numbers}
B = {Prime Numbers}
A B
4
10
14
6
12
8
2
13
5
7
3
11
1
15
9
U

39. U
28
20
14
16
26
12
18
24
30
10
25
15
21
27
13
19
11
29
17
Describe Sets U, A, B and C
U = {10,11,12,13,14,........29,30}
A = {Even Numbers}
B = {Multiples of 3}
C = {Multiples of 5}
C
BA
22
23

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Presentation 1 Venn Diagrams: Example
Presentation 2 Venn Diagrams: Key Definitions
Presentation 3 Venn Diagrams: Illustrating Sets
Presentation 4 Venn Diagrams: Theoretical Example