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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. &#x2022; For any set (A) within Universal set (U), it is the set of elements of U that are not Elements of A &#x2022; U stands for &#x201C;Universal set&#x201D; ; All numbers or elements possible &#x2022; Pretty much, a compliment is the opposite, everything that is not in set A &#x2022; U= {cats, birds, geckos, dog} &#x2022; A= {birds} &#x2022; Find A&#x2019;
• 3. &#x2022;
• 4. &#x2022; Proper subsets are NOT equal sets &#x2022; A proper subset of a set has some but not ALL of the elements of that set &#x2022; 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. &#x2022; The number of subsets you have depends on the number of combinations you can make with the elements &#x2022; N &#x2013; number of elementsThe number ofelements in a set &#x2022; Formula;determines thenumber of subsets &#x2022; 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. &#x2022; Q= {1,2,3,} &#x2022; Subsets &#x2022; {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3} &#x2022; 8 subsets &#x2022; 23= 8Number of subsets
• 7. &#x2022; U= {5, 10, 15, 20, 25, 30} &#x2022; T= {10, 20, 30} &#x2022; Find T&#x2019;= &#x2022; T&#x2019;= {5, 15, 25} &#x2022; Find n(T&#x2019;) &#x2022; 23 = 8Number of subsets
• 8. &#x2022; Formula for Number of Proper Subsets &#x2022;2n-1 &#x2022; You have to take away the subset that has all the same elementsProper subsets- havesome but not ALL ofthe same elements ofa set
• 9. &#x2022; Q= {1,2,3,} &#x2022; Subsets &#x2022; {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3} &#x2022; 8 subsets &#x2022; Take away {1,2,3} &#x2022; 7 subsetsNumber of propersubsets &#x2022; 23-1= 7