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C241 PLTL Session – 10/28/2014

C241 PLTL Session – 10/28/2014. Review of sets, subsets, and relations. Warm-Up Exercise. Grab a worksheet Begin completing the worksheet in pairs or small groups. Problem 1.

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C241 PLTL Session – 10/28/2014

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  1. C241 PLTL Session – 10/28/2014 Review of sets, subsets, and relations

  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, (the set of ordered pairs (x,y) such that x trusts y), and L is the set of people who are liked, (the set of ordered pairs (x,y) such that x likes y). a. What is another term that could be used to describe the sets L and T? b. In set builder notation, give the set of people who like and trust the same person. c. In set builder notation, give the set of nice people that are both trusted and liked by someone. d. The set of people who are liked by someone and trusted by the same person.

  4. Problem 2 2) Define union and intersection in set builder notation. (You can use the arbitrary sets S and T to express your answer.)

  5. Problem 3 3) Visit the SETL website, http://setl.org/setl-server.html, and answer the following questions: (i) Print the set of all odd integers through 200. (ii) Print the set of all primes through 200. (iii) How many elements are in the set difference between the set from part (i) and the set from part (ii)?

  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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