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