Set Theory Using Venn Diagrams Universal Set U

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’ =

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

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

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

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

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

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

Set Theory: Using Venn Diagrams U: Universal Set A B Empty Set / Disjoint Sets

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

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

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!!!!

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

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

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

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

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

Set Theory: Using Venn Diagrams 3 0 s t u d e n t s S p a n i s h F r e n c h Latin Students enrolled in French only

Set Theory: Using Venn Diagrams Dog 3 2 s t u d e n t s Cat Bird

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