Unit 10 – Logic and Venn Diagrams

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Presentation transcript:

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

Solution: Use a Venn diagram 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 7 2 4 3 9 5 A B 1, 2, 3 and 5 are only in set B

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

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

Unit 10 – Logic and Venn Diagrams Venn Diagram: Key Definitions

Intersection: Members of both set A and set B

Union: Members of set A or set B or both

Complementary: Members not in the set

Universal Set: All members

Subset: All members of set A are in set B

Number of elements in a set: Empty set:

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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

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

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? U B A C

What is the shaded region? U B A C

What is the shaded region? U B A C

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

Unit 10 – Logic and Venn Diagrams Venn Diagram: Practical Example

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}

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,........29,30} A = {Even Numbers} B = {Multiples of 3} C = {Multiples of 5}

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