math unit10 logic and venn diagrams
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Unit 10 – Logic and Venn Diagrams
Presentation 1 Venn Diagrams: ExamplePresentation 2 Venn Diagrams: Key DefinitionsPresentation 3 Venn Diagrams: Illustrating SetsPresentation 4 Venn Diagrams: Theoretical ExamplePresentation 5 Venn Diagram: Practical Example
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Unit 10 – Logic and Venn DiagramsVenn Diagram: Example
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Using the numbers 0, 1, 2, … , 9 illustrate the sets: and
Solution: Use a Venn diagram
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Using the numbers 0, 1, 2, … , 9 illustrate the sets: and
A B
4 is in BOTH sides
4
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Using the numbers 0, 1, 2, … , 9 illustrate the sets: and
A B
7 and 9 are only in set A
47
9
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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
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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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Return to the StartPresentation 2 Venn Diagrams: Key DefinitionsPresentation 3 Venn Diagrams: Illustrating SetsPresentation 4 Venn Diagrams: Theoretical ExamplePresentation 5 Venn Diagram: Practical Example
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Unit 10 – Logic and Venn Diagrams
Venn Diagram: Key Definitions
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A B
Intersection: Members of both set A and set B
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A B
Union: Members of set A or set B or both
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Complementary: Members not in the set
A
A’
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Universal Set: All members
U
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A
B
Subset: All members of set A are in set B
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Number of elements in a set:
Empty set:
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Venn Diagrams: Key Definitions
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Return to the StartPresentation 1 Venn Diagrams: ExamplePresentation 3 Venn Diagrams: Illustrating SetsPresentation 4 Venn Diagrams: Theoretical ExamplePresentation 5 Venn Diagram: Practical Example
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Unit 10 – Logic and Venn Diagrams
Venn Diagrams: Illustrating Sets
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A B
U
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A B
U
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A B
U
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A B
U
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A B
U
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A B
U
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A B
U
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A B
U
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A B
U
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A B
U
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Venn Diagrams: Illustrating Sets
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Return to the StartPresentation 1 Venn Diagrams: ExamplePresentation 2 Venn Diagrams: Key DefinitionsPresentation 4 Venn Diagrams: Theoretical ExamplePresentation 5 Venn Diagram: Practical Example
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Unit 10 – Logic and Venn Diagrams
Venn Diagrams: Theoretical Example
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A B
U
What is the shaded region?
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A B
U
What is the shaded region?
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A B
U
What is the shaded region?
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A BU
What is the shaded region?
C
) C A ( B
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A BU
What is the shaded region?
C
)' C B A (
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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: ExamplePresentation 2 Venn Diagrams: Key DefinitionsPresentation 3 Venn Diagrams: Illustrating SetsPresentation 5 Venn Diagrams: Practical Example
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Unit 10 – Logic and Venn Diagrams
Venn Diagram: Practical Example
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U = {Natural Numbers less than 16}
Describe set A and set BA = {Even Numbers}B = {Prime Numbers}
A B
4
10
14
6
12 8
213
57
3
11
1
15
9U
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U
28
20
14
1626
1218 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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Venn Diagrams: Practical Example
Please choose an optionReturn to the Start
Presentation 1 Venn Diagrams: ExamplePresentation 2 Venn Diagrams: Key DefinitionsPresentation 3 Venn Diagrams: Illustrating SetsPresentation 4 Venn Diagrams: Theoretical Example