Question 1

Write a description of the set.
-S = {Monday, Tuesday, Wednesday, Thursday, Friday}

Accepted Answer

A)  Set S is the set of months in a year. 
B)  Set S is the set of all the days in a week. 
C)  Set S is the set of days in a month. 
D)  Set S is the set of the five business days in a week. 
A)  Set S is the set of months in a year. 
B)  Set S is the set of all the days in a week. 
C)  Set S is the set of days in a month. 
D)  Set S is the set of the five business days in a week.

Question 2

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words.
-$A \cap B \cap D$

Accepted Answer

A)  All diet, caffeine-free cola soda pops 
B)  All diet, caffeine-free cola pops in cans 
C)  All diet and all cola and all caffeine-free 
D)  All soda pops not in cans soda pops 
A)  All diet, caffeine-free cola soda pops 
B)  All diet, caffeine-free cola pops in cans 
C)  All diet and all cola and all caffeine-free 
D)  All soda pops not in cans soda pops

Question 3

Find n(A) for the set.
-A = {x∣x ∈ N and 10 ≤ x ≤ 25}

Accepted Answer

A)  n(
A)  = 16 
B)  n(
A)  = 14 
C)  n(
A)  = 35 
D)  n(
A)  = 36 
A)  n(
A)  = 16 
B)  n(
A)  = 14 
C)  n(
A)  = 35 
D)  n(
A)  = 36

Question 4

Express the set in roster form.
-{x|x is a negative multiple of 4}

Accepted Answer

A)  {0, -4, -8, . . .} 
B)  {4, 8, 12, . . .} 
C)  {-4, -8, -12, . . .} 
D)  {-4, -16, -64, . . .} 
A)  {0, -4, -8, . . .} 
B)  {4, 8, 12, . . .} 
C)  {-4, -8, -12, . . .} 
D)  {-4, -16, -64, . . .}

Question 5

Let A = {1, 3, 5, 7}
B = {5, 6, 7, 8}
C = {5, 8}
D = {2, 5, 8}
U = {1, 2, 3, 4, 5, 6, 7, 8}.
Determine whether the statement is true or false.
-$$C \subset A$$

Accepted Answer

A)  False; C has one different element than A does. 
B)  False; A is a subset of C. 
C)  True 
D)  False; C is equal to A. 
A)  False; C has one different element than A does. 
B)  False; A is a subset of C. 
C)  True 
D)  False; C is equal to A.

Question 6

Use $ \subseteq, \nsubseteq, \subset $, or both $ \subset $ and $ \subseteq$ to make a true statement.
-$\varnothing$$\underline{\quad\quad}${${ {5,17,24,36} }$}

Accepted Answer

A)  $\subset$ and $\subseteq$ 
B)  $\subset$ 
C)  ? 
D) $\subseteq$ 
A)  $\subset$ and $\subseteq$ 
B)  $\subset$ 
C)  ? 
D) $\subseteq$

Write a description of the set. -S = {Monday, Tuesday, Wednesday, Thursday, Friday}

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - $A \cap B \cap D$

Find n(A) for the set. -A = {x∣x ∈ N and 10 ≤ x ≤ 25}

Express the set in roster form. -{x|x is a negative multiple of 4}

Let A = {1, 3, 5, 7} B = {5, 6, 7, 8} C = {5, 8} D = {2, 5, 8} U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement is true or false. - $C \subset A$

Use $\subseteq, \nsubseteq, \subset$ , or both $\subset$ and $\subseteq$ to make a true statement. - $\varnothing$ $\underline{\quad\quad}$ { ${ {5,17,24,36} }$ }

Critical Thinking Skills

Logic

Systems of Numeration

Number Theory and the Real Number System

Algebra, Graphs, and Functions

The Metric System

Geometry

Consumer Mathematics

Probability

Voting and Apportionment

Filters

Exam 2: Sets