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Math unit10 logic and venn diagrams

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Logic and venn diagram

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Math unit10 logic and venn diagrams

  1. 1. 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
  2. 2. Unit 10 – Logic and Venn Diagrams Venn Diagram: Example
  3. 3. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and Solution: Use a Venn diagram
  4. 4. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and A B 4 is in BOTH sides 4
  5. 5. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and A B 7 and 9 are only in set A 4 7 9
  6. 6. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and A B 1, 2, 3 and 5 are only in set B 4 7 9 1 2 3 5
  7. 7. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and A B 0, 6 and 8 are not in A or B 4 7 9 1 2 3 5 0 6 8
  8. 8. 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
  9. 9. Unit 10 – Logic and Venn Diagrams Venn Diagram: Key Definitions
  10. 10. A B Intersection: Members of both set A and set B
  11. 11. A B Union: Members of set A or set B or both
  12. 12. Complementary: Members not in the set A A’
  13. 13. Universal Set: All members U
  14. 14. A B Subset: All members of set A are in set B
  15. 15. Number of elements in a set: Empty set:
  16. 16. 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
  17. 17. Unit 10 – Logic and Venn Diagrams Venn Diagrams: Illustrating Sets
  18. 18. A B U
  19. 19. A B U
  20. 20. A B U
  21. 21. A B U
  22. 22. A B U
  23. 23. A B U
  24. 24. A B U
  25. 25. A B U
  26. 26. A B U
  27. 27. A B U
  28. 28. 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
  29. 29. Unit 10 – Logic and Venn Diagrams Venn Diagrams: Theoretical Example
  30. 30. A B U What is the shaded region?
  31. 31. A B U What is the shaded region?
  32. 32. A B U What is the shaded region?
  33. 33. A B U What is the shaded region? C )CA(B ∪∩
  34. 34. A B U What is the shaded region? C )'CBA( ∪∪
  35. 35. A B U What is the shaded region? C )B'C(A ∪∪
  36. 36. 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
  37. 37. Unit 10 – Logic and Venn Diagrams Venn Diagram: Practical Example
  38. 38. 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 2 13 5 7 3 11 1 15 9 U
  39. 39. U 28 20 14 16 26 12 18 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
  40. 40. 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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