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Sets, subsets, compliments
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Sets, subsets, compliments

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Transcript

  • 1. N- NaturalNumbers AllW- Whole Numbers E Numbers,Z= Integers R Real andR= Rational Imaginary ZNumbersE= Real Numbers Wi = Imaginary NNumbers i COPY and fill in the Circle Chart with the correct Terms
  • 2. • For any set (A) within Universal set (U), it is the set of elements of U that are not Elements of A • U stands for “Universal set” ; All numbers or elements possible • Pretty much, a compliment is the opposite, everything that is not in set A • U= {cats, birds, geckos, dog} • A= {birds} • Find A’
  • 3.
  • 4. • Proper subsets are NOT equal sets • A proper subset of a set has some but not ALL of the elements of that set • Which are proper subsets of Q? Q= {1, 4, 7,13,14, 22} N= {1, 4 , 7, 14, 22} R= {1, 4, 7, 13, 14, 22} S= {7} T= { 22, 23}
  • 5. • The number of subsets you have depends on the number of combinations you can make with the elements • N – number of elementsThe number ofelements in a set • Formula;determines thenumber of subsets • Number of subsets = 2n Number of Elements 0 1 2 3 4 Number of sets 1= 20 2=21 4=22 8= 23 16= 24
  • 6. • Q= {1,2,3,} • Subsets • {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3} • 8 subsets • 23= 8Number of subsets
  • 7. • U= {5, 10, 15, 20, 25, 30} • T= {10, 20, 30} • Find T’= • T’= {5, 15, 25} • Find n(T’) • 23 = 8Number of subsets
  • 8. • Formula for Number of Proper Subsets •2n-1 • You have to take away the subset that has all the same elementsProper subsets- havesome but not ALL ofthe same elements ofa set
  • 9. • Q= {1,2,3,} • Subsets • {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3} • 8 subsets • Take away {1,2,3} • 7 subsetsNumber of propersubsets • 23-1= 7