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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
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Unit 10 – Logic and Venn Diagrams
Venn Diagram: Example
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Solution: Use a Venn diagram
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
4 A B 4 is in BOTH sides
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Using the numbers 0, 1, 2, … , 9 illustrate the sets: and
7 4 9 A B 7 and 9 are only in set A
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Using the numbers 0, 1, 2, … , 9 illustrate the sets: and
7 2 4 3 9 5 A B 1, 2, 3 and 5 are only in set B
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Using the numbers 0, 1, 2, … , 9 illustrate the sets: and
1 7 2 4 6 3 9 8 5 A B 0, 6 and 8 are not in A or B
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Venn Diagrams: Example
You have finished viewing the presentation Venn Diagrams: Example Please choose an option Return to the Start Presentation 2 Venn Diagrams: Key Definitions Presentation 3 Venn Diagrams: Illustrating Sets Presentation 4 Venn Diagrams: Theoretical Example Presentation 5 Venn Diagram: Practical Example
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Unit 10 – Logic and Venn Diagrams
Venn Diagram: Key Definitions
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Intersection: Members of both set A and set B
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Union: Members of set A or set B or both
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Complementary: Members not in the set
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Universal Set: All members
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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
You have finished viewing the presentation Venn Diagrams: Key Definitions Please choose an option Return to the Start Presentation 1 Venn Diagrams: Example Presentation 3 Venn Diagrams: Illustrating Sets Presentation 4 Venn Diagrams: Theoretical Example Presentation 5 Venn Diagram: Practical Example
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Unit 10 – Logic and Venn Diagrams
Venn Diagrams: Illustrating Sets
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U A B
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U A B
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U A B
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U A B
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U A B
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U A B
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U A B
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U A B
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U A B
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U A B
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Venn Diagrams: Illustrating Sets
You have finished viewing the presentation Venn Diagrams: Illustrating Sets Please choose an option Return to the Start Presentation 1 Venn Diagrams: Example Presentation 2 Venn Diagrams: Key Definitions Presentation 4 Venn Diagrams: Theoretical Example Presentation 5 Venn Diagram: Practical Example
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Unit 10 – Logic and Venn Diagrams
Venn Diagrams: Theoretical Example
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What is the shaded region?
U A B
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What is the shaded region?
U A B
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What is the shaded region?
U A B
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What is the shaded region?
U B A C
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What is the shaded region?
U B A C
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What is the shaded region?
U B A C
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Venn Diagrams: Theoretical Example
You have finished viewing the presentation Venn Diagrams: Theoretical Example Please choose an option Return to the Start Presentation 1 Venn Diagrams: Example Presentation 2 Venn Diagrams: Key Definitions Presentation 3 Venn Diagrams: Illustrating Sets Presentation 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 B
9 1 14 3 4 13 15 6 2 5 10 7 12 8 11 U = {Natural Numbers less than 16} Describe set A and set B A = {Even Numbers} B = {Prime Numbers}
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U Describe Sets U, A, B and C A = {Even Numbers} B = {Multiples of 3}
14 12 13 21 28 18 26 24 16 27 19 30 22 20 15 23 10 11 29 25 C 17 Describe Sets U, A, B and C U = {10,11,12,13,14, ,30} A = {Even Numbers} B = {Multiples of 3} C = {Multiples of 5}
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Venn Diagrams: Practical Example
You have finished viewing the presentation Venn Diagrams: Practical Example Please choose an option Return 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
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