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C241 PLTL Session – 10/19/2014

C241 PLTL Session – 10/19/2014. Exploring SETL. Warm-Up Exercise. Grab a worksheet Begin completing the worksheet in pairs or small groups. Problem 1.

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C241 PLTL Session – 10/19/2014

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  1. C241 PLTL Session – 10/19/2014 Exploring SETL

  2. Warm-Up Exercise • Grab a worksheet • Begin completing the worksheet in pairs or small groups

  3. Problem 1 1) M is the set of all mortal people, N is the set of all nice people, T is the set of people who trust are trusted, (a set of ordered pairs (x,y) such that x trusts y), and L is the set of people who are liked, (a set of ordered pairs (x,y) such that x likes y). Using set builder notation, define the following sets: a. The set of nice people that are liked by someone b. The set of people who like someone trusted. c. The set of people that are mortal and nice. d. The set of people who are liked by someone and trusted by the same person.

  4. Problem 2 2) Give the power set P(S) for S = (1, 2, 3, 4, 5). How many elements does it have?

  5. Problem 3 3) Visit the SETL website, http://setl.org/setl-server.html, and answer the following questions: (Give both the answer and the SETL code that generated you this answer.) X = (11, 4, 1, Y = (1, 4, 25, 6, (), 17, 8, 9), A = (4, 7, 8, 9, 10, (11, 12, 13), 12), and Z is the set of all integers. (i) Print the set of all even integers under 100 in SETL using set builder notation. (ii) Print the set of all odd integers under 200 in SETL using set builder notation. (iii) How many elements are in the set difference between the set from part (ii) and the set from part (i)?

  6. Problem 4 from old PowerPoint Visit the SETL website, http://setl.org/setl-server.html, and answer the following questions: (Give both the answer and the SETL code that generated you this answer.) Note that sets are denoted by braces {}, the intersection operator for sets is denoted by *, and the union operator for sets is denoted + in SETL. Using parentheses, (), to denote a set is a more conventional notation than using braces, {}. A = (11, 4, 13, 4, 25, 6, (), (1, 2)), B = (1, 4, 25, 6, (), 17, 8, 9), and C = (4, 7, 8, 9, 10, (11, 12, 13), 12) (i) What is the set difference between A and B? (ii) What is the set difference between C and D = (11, 12, 13)?

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