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Updates

Updates. Changes? Agenda Today: Sets Tomorrow: Venn diagrams Wed: IB problems Thurs: Report card p ick up Friday: Project d ay. Do Now. What is the letter symbol for integer, real number, and rationals Find the percent error if the actual is 3.045 and the estimate is 3.

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Updates

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  1. Updates • Changes? • Agenda • Today: Sets • Tomorrow: Venn diagrams • Wed: IB problems • Thurs: Report card pick up • Friday: Project day

  2. Do Now • What is the letter symbol for integer, real number, and rationals • Find the percent error if the actual is 3.045 and the estimate is 3. • What is the symbol for union and intersection, and what does each mean?

  3. Reminder - Element of: • Subset of: • Number of elements:

  4. Practice with Set Builder Notation Given A = { x| x ϵ Z, 3 < x ≤ 10 }, write down: • The meaning of the set builder notation. • List the elements of set A • Find n(A)

  5. Compliments of Sets What is a compliment? Symbol: Meaning:

  6. Example Set U = {1,2,3,4,5,6,7,8,} and A= {1,3,5,7,8}, then A’ =

  7. Note: A ∩ A’ = A U A’ = n(A’) =

  8. Example If U = {x| x ϵ Z, -5≤ x ≤ 5}, A = {x| x ϵ Z, 1≤ x ≤ 4}, B = {x| x ϵ Z, -3≤ x ≤ 2}, List elements in: • A • B • A’ • B’ • A ∩ B • A U B • A’ ∩ B • A’ U B’

  9. Practice • If U = {all positive integers}, P = {multiples of 4 less than 50}, Q = {multiples of 6 less than 50} • List P and Q • Find P ∩ Q • Find P U Q • Verify that n(P U Q) = n(P) + n(Q) – n(P ∩ Q)

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