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Assignment 5 Solutions - Due Tuesday 2/24 Assignment#5...

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   Assignment #5 Due Tuesday, 2/24 Complete the following exercises from chapter 2.2: h   2,  26, 30   For question 30 in particular, justify your answers Complete the following exercises from chapter 2.3:   6, 8, 12, 16, 22,  28, 32 Honor Section:     Assignment #5 Due Tuesday, 2/24 Complete the following exercises from chapter 2.2: �   2, 30,  40   For questions 30 and 40 in particular, justify your answers Complete the following exercises from chapter 2.3:   6, 8, 12, 16, 22,  30, 32 Chapter 2.2 Exercise 2: Suppose that A is the set of sophomores at your school and B is the set of students in discrete mathematics at your school. Express each of these sets in terms of A and B. a) The set of sophomores taking discrete mathematics in your school Answer: B A b) The set of sophomores at your school who are not taking discrete mathematics. Answer: B A or B A - c) The set of students at your school who either are sophomores or are taking discrete mathematics Answer: B A d) The set of students at your school who either are not sophomores or are not taking discrete mathematics Answer: B A Chapter 2.2 Exercise 26 (Regular session only):
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Answer: a) A B C b) A B C c) A B C Chapter 2.2 Exercise 30: Can you conclude that A = B if A, B, and C are sets such that a. A C = B C Answer: No. A counter example: Let A = {1, 2}, B = {1, 2, 3}, and C = {3, 4, 5}. A C = B C = {1, 2, 3, 4, 5} but A B b. A C = B C Answer: No.
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