Question

Let A, B, and c be as in Exercise 1, let D 13, 2h, and let E 12, 3, 2). Determine which of the following are true. Give reasons for your decisions (a) A B (b) B C (c) B D (d) E-D (e) An B n A AUB BUA (g) A -B B A (h) A B Be A 3. Let U {1, 2, 3 9). Give examples of sets A, B, and C for which (a) An (Bn) (An B) nC (c) (A U B) (d) A U U (e) A g AU 4. Let U (1, 2, 3, 9h. Give examples to illustrate the following facts (a) If A C Band B g C, then ACC (b) A B B A (c) If U AU Band A B 0, it always follows that A U B (A x B) n (A xC) B Exercises 5. What can you say about A if U 11, 2, 3, 4, 5), B 12, 3, and (separately) (a) AU (1, 2, 3, 4h (b) An B 312) (c) A 13, 4, 5)

Answer 1

) nC (c) (A U B) (d) A U U (e) A g AU 4. Let U (1, 2, 3, 9h. Give examples to illustrate the following facts (a) If A C Band B g C, then ACC (b) A B B A (c) If U AU Band A B 0, it always follows that A U B (A x B) n (A xC) B Exercises 5. What can you say about A if U 11, 2, 3, 4, 5), B 12, 3, and (separately) (a) AU (1, 2, 3, 4h (b) An B 312) (c) A 13, 4, 5)

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