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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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View Full Document 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
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This document was uploaded on 09/01/2009.
 Spring '09

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