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Unit 10 – Logic and Venn Diagrams

Unit 10 – Logic and Venn Diagrams. 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.

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Unit 10 – Logic and Venn Diagrams

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  1. Unit 10 – Logic and Venn Diagrams

  2. Unit 10 – Logic and Venn Diagrams Venn Diagram: Example

  3. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and Solution: Use a Venn diagram

  4. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and 4 A B 4 is in BOTH sides

  5. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and 7 4 9 A B 7 and 9 are only in set A

  6. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and 1 7 2 4 3 9 5 A B 1, 2, 3 and 5 are only in set B

  7. Using the numbers 0, 1, 2, … , 9 illustrate the sets: and 0 1 7 2 6 4 3 9 5 8 A B 0, 6 and 8 are not in A or B

  8. You have finished viewing the presentation Venn Diagrams: Example Please choose an option

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

  10. Intersection: Members of both set A and set B A B

  11. Union: Members of set A or set B or both A B

  12. Complementary: Members not in the set A A’

  13. Universal Set: All members U

  14. Subset: All members of set A are in set B A B

  15. Number of elements in a set: Empty set:

  16. You have finished viewing the presentation Venn Diagrams: Key Definitions Please choose an option

  17. Unit 10 – Logic and Venn Diagrams Venn Diagrams: Illustrating Sets

  18. U A B

  19. U A B

  20. U A B

  21. U A B

  22. U A B

  23. U A B

  24. U A B

  25. U A B

  26. U A B

  27. U A B

  28. You have finished viewing the presentation Venn Diagrams: Illustrating Sets Please choose an option

  29. Unit 10 – Logic and Venn Diagrams Venn Diagrams: Theoretical Example

  30. What is the shaded region? U A B

  31. What is the shaded region? U A B

  32. What is the shaded region? U A B

  33. What is the shaded region? U B A C

  34. What is the shaded region? U B A C

  35. What is the shaded region? U B A C

  36. You have finished viewing the presentation Venn Diagrams: Theoretical Example Please choose an option

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

  38. U U = {Natural Numbers less than 16} Describe set A and set B A = {Even Numbers} B = {Prime Numbers} 9 1 14 3 4 13 15 6 2 5 10 7 12 8 11 A B

  39. U A B 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}

  40. You have finished viewing the presentation Venn Diagrams: Practical Example Please choose an option

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