CSS 220 Set Theory Study Questions

CSS 220 Set Theory Study Questions

CSS 220 Module 3 Homework

For all the problems show your work . Giving only the correct answer is insufficient for getting the full credit.

Set Applications:

1. How many proper subsets and subsets does the set L = { mm, cm, m, km}, metric units of length, have? Write them out.

2. Which of the following sets is a subset of B = {green, 66, 9, 70, love, 8}?

· H = {green, 6, 9, 70, 8}

· G = {green, love, 8}

· F = {70, love, 88}

· E = {green, 70, love, 81}

3. Which set is infinite?

· Q = {1, 2, 3, 4, …}

· A = {7, 12, small, 4, 4}

· The set of all of the integers between 50 and 90.

· The set of all of the days of the week.

4. Given A = {apple, pear, banana, orange}, B = {apple, banana}, C = {pear, orange}, which of the following are true? There may be more than one correct answer.

· B⊂C

· A⊂C

· B⊂A

· C⊂B

5. D = {red, blue, green, yellow, black}, E = {blue, green}, F = {red, blue, green, purple}, which of the following are true? There may be more than one correct answer.

· E⊂F

· F⊂E

· D⊂F

· E⊂D

6.

Find Ac∩B.

7. What is (A∩B)c where A = {5, 11, 3, 8, 9}, B = {99, 5, 11, 2, 4} and Universal Set = {5, 16, 4, 12, 2, 11, 99, 3, 1, 9, 8}?

8. What is A∩B where A = {5, 11, 3, 3, 8, 9} and B = {99, 5, 11, 2, 4, 11}?

9. What is A∩Bc where A = {5, 11, 3, 8, 9} and B = {99, 5, 11, 2, 4}?

10. What is R×T where R = {1, 2, 3, 4, 5} and T = {0, 1}?

11. Find A−B for A = {4, 8, 11, 16, 20} and B = {3, 8, 13, 16, 23}.

12. Find the union between the set of all whole numbers bigger than 0 but smaller than 10 and the set A = {1, 3, 4, 7, 15, T, P, 35, h}.

13. If A = {3, 7, 9, 13, 22}, B = {5, 7, 14, 23, 31}, and C = {8, 9, 15, 23, 25, 31, 33}, then what is (A∪B)∩C?

14. Use the Venn diagram below to determine if (A∩C)∩B=(A∩B)∩C and, if it is, what regions does the set include?

15. If A = {2, 4, 5, 6}, B = {3, 6, 9, 12}, and C = {5, 6, 7, 8, 9, 10} then what is (A∩C)∩(B∪C)?

16. Given that A = {2, 4, 5, 6}, B = {3, 6, 9, 12}, and C = {5, 6, 7, 8, 9, 10}. Provide the Venn diagram of all three sets and determine (A∩C)∩(B∪C)?

17. Suppose A = {2, 3, 5, 8, 13, 21}, B = {1, 3, 5, 7, 9}, and C = {1, 2, 3, 4, 5}. Provide the Venn diagram of all three sets.

18. Suppose A = {10, 11, 12, 15, 17}, B = {8, 10, 12, 14, 16}, and C = {10, 15, 20, 25}. Provide the Venn diagram of all three sets.

19. Use the Venn diagram below to determine if (A∩C)∩B=(A∩B)∪C and, if it is, what regions does the set include?

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