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Set Theory Problems Solutions - MIT

JHU-CTY Theory of Computation (TCOM) Lancaster 2007 ~ Instructors Kayla Jacobs & Adam GroceSET Theory PROBLEMSSOLUTIONS * (1) Formal as a Tux and Informal as JeansDescribe the following sets in both formal and informal Set Notation DescriptionInformal English Descriptiona){2, 4, 6, 8, 10, ..}The set of all positive even integersb){.., -3, -1, 1, 3,..}The set of all odd integersc){n | n = 2m for some y }The set of all positive even integers(using the convention that 0 is not a natural number)d){x | x=2n and x=2k for some n, k }The set of all positive multiples of 6e){b | b and b=b+1} f){2, 20, 200} The set containing the numbers 2, 20, and 200g){n | n and n > 42}The set containing all integers greater than 42h){n | n and n < 42 and}

The set of all positive even integers b) {…, -3, -1, 1, 3,…} The set of all odd integers c) {n | n = 2m for some y } The set of all positive even integers (using the convention that 0 is not a natural number) d) {x | x=2n and x=2k for some n, k } The set of all positive multiples of 6

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  Theory, Integre, Set theory, Odd integers

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