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Set Theory: Using Venn Diagrams

Set Theory: Using Venn Diagrams. Universal Set (U) : the set of all elements under consideration. www.onlinemathlearning.com/universal-set.com #1) U = {prime numbers less than 21}: {2,3,5,7,11} A = {odd prime numbers <21}: {3,5,7,11} A’ =

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Set Theory: Using Venn Diagrams

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  1. Set Theory: Using Venn Diagrams • Universal Set (U): the set of all elements under consideration.www.onlinemathlearning.com/universal-set.com • #1) U = {prime numbers less than 21}: {2,3,5,7,11} A = {odd prime numbers <21}: {3,5,7,11} A’ = #2) U = {Multiples of 5 that are <50}: U = {5,10,15,20,25,30,35,40,45} A = {mult. of 10 that are <50}: {10,20,30,40} A’ =

  2. Set Theory: Using Venn Diagrams U: Universal Set Intersection: A B =

  3. Set Theory: Using Venn Diagrams U: Universal Set Universal Set or complement of (A ∩ B) noted as (A ∩ B)’

  4. Set Theory: Using Venn Diagrams U: Universal Set Union: A U B = and

  5. Set Theory: Using Venn Diagrams U: Universal Set Universal Set or complement of (A U B) noted as (A U B)’

  6. Set Theory: Using Venn Diagrams U: Universal Set A B Complement of A = A’

  7. Set Theory: Using Venn Diagrams U: Universal Set B A Complement of B = B’

  8. Set Theory: Using Venn Diagrams U: Universal Set Empty Set / Disjoint Sets

  9. Set Theory: Using Venn Diagrams U: Universal Set B A Subset: A B

  10. Set Theory: Using Venn Diagrams U: Universal Set A B Subset: B A

  11. Set Theory: Using Venn Diagrams • Assignment: • Number your paper 1-9. • Write the relationship that you see at each problem – use set notation!!! • Remember that it is quiet in a museum!!!!

  12. Handout “Venn Diagrams WS” (1-3) (half-sheet) and work problems together…

  13. Set Theory: Using Venn Diagramsfrom the Venn Diagram WS (1-3) (half sheet) Gym class = 24 students

  14. Set Theory: Using Venn Diagramsfrom the Venn Diagram WS (1-3) (half sheet) Gym class = 24 students

  15. Set Theory: Using Venn Diagramsfrom the Venn Diagram WS (1-7) (dog on back) 50 students Chorus still has 18 and Band still has 26 students. C U B = C D = Students not enrolled in chorus or band =

  16. Set Theory: Using Venn Diagrams 320 students S B S U B = S B = Students not enrolled in chorus or sports =

  17. Set Theory: Using Venn Diagrams Spanish French 30 students Latin Students enrolled in French only

  18. Set Theory: Using Venn Diagrams Dog Cat 32 students Bird

  19. Set Theory: Using Venn Diagrams • Homework: • Venn Diagram word problem worksheet.

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