unit 10 – logic and venn diagrams
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Unit 10 – Logic and Venn Diagrams. Unit 10 – Logic and Venn Diagrams. Venn Diagram: Example. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and. Solution: Use a Venn diagram. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and. 4. A. B. - PowerPoint PPT PresentationTRANSCRIPT
Unit 10 – Logic and Venn Diagrams
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
Unit 10 – Logic and Venn DiagramsVenn Diagram: Example
Using the numbers 0, 1, 2, … , 9 illustrate the sets: and
Solution: Use a Venn diagram
Using the numbers 0, 1, 2, … , 9 illustrate the sets: and
A B
4 is in BOTH sides
4
Using the numbers 0, 1, 2, … , 9 illustrate the sets: and
A B
7 and 9 are only in set A
47
9
Using the numbers 0, 1, 2, … , 9 illustrate the sets: and
A B
1, 2, 3 and 5 are only in set B
47
9
1
23
5
Using the numbers 0, 1, 2, … , 9 illustrate the sets: and
A B
0, 6 and 8 are not in A or B
47
9
1
23
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
Unit 10 – Logic and Venn Diagrams
Venn Diagram: Key Definitions
A B
Intersection: Members of both set A and set B
A B
Union: Members of set A or set B or both
Complementary: Members not in the set
A
A’
Universal Set: All members
U
A
B
Subset: All members of set A are in set B
Number of elements in a set:
Empty set:
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Venn Diagrams: Key Definitions
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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
Unit 10 – Logic and Venn Diagrams
Venn Diagrams: Illustrating Sets
A B
U
A B
U
A B
U
A B
U
A B
U
A B
U
A B
U
A B
U
A B
U
A B
U
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Venn Diagrams: Illustrating Sets
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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
Unit 10 – Logic and Venn Diagrams
Venn Diagrams: Theoretical Example
A B
U
What is the shaded region?
A B
U
What is the shaded region?
A B
U
What is the shaded region?
A BU
What is the shaded region?
C
) C A ( B
A BU
What is the shaded region?
C
)' C B A (
A BU
What is the shaded region?
C
)B' C (A
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Venn Diagrams: Theoretical Example
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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
Unit 10 – Logic and Venn Diagrams
Venn Diagram: Practical Example
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
213
5
7
3
11
1
15
9U
U
28
20
14
16
26
12
1824
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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Venn Diagrams: Practical Example
Please choose an optionReturn to the Start
Presentation 1 Venn Diagrams: Example
Presentation 2 Venn Diagrams: Key Definitions
Presentation 3 Venn Diagrams: Illustrating Sets
Presentation 4 Venn Diagrams: Theoretical Example