Question 1

Determine whether the two sets are equal.

Accepted Answer

The answer of Determine whether the two sets are equal....

Question 2

Use the Venn diagram and find   .

Accepted Answer

A)    = {q, r, s, v, w} 
B)    = {q, r, s, v, w, x, y} 
C)    = {q, r, s, t, u, v, w} 
D)    = {t, u} 
A)    = {q, r, s, v, w} 
B)    = {q, r, s, v, w, x, y} 
C)    = {q, r, s, t, u, v, w} 
D)    = {t, u}

Question 3

Show that the given set is countable. {3, 6, 9, 12, 15, ...}

Accepted Answer

The set is countable because i

Question 4

Draw a Venn diagram and shade the sections representing   .

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Write the set using the descriptive method:
{25, 26, 27, . . . , 45}

Accepted Answer

The set of natural n

Question 6

One weekend, there were 61 pizzas ordered for the sophomore dorm. That weekend 12 customers
Ordered their pizza with just pepperoni, 18 customers ordered their pizza with just sausage, 13
Ordered theirs with just onions, 6 ordered theirs with pepperoni and sausage, 5 ordered theirs with
Sausage and onions, 4 ordered theirs with pepperoni and onions, and 2 ordered theirs with all three
Items. The remaining pizzas were cheese pizzas with no toppings. How many customers ordered at
Most two toppings on their pizza?

Accepted Answer

A) 58 
B) 15 
C) 16 
D) 59 
A) 58 
B) 15 
C) 16 
D) 59

Question 7

Find the number of subsets the set has. {1, 2, 3, 4, 5}

Accepted Answer

A) 16 
B) 31 
C) 5 
D) 32 
A) 16 
B) 31 
C) 5 
D) 32

Question 8

Find the general term of the set. {-10, -20, -30, -40, -50, . . .}

Accepted Answer

A) -11n + 1 
B) -9n - 1 
C) -10n 
D) n - 11 
A) -11n + 1 
B) -9n - 1 
C) -10n 
D) n - 11

Question 9

The graph below displays the median housing prices for all houses sold in Anywhere, US between 2003 and
2008.   List the set of years in which the median price was above $150,000.

Accepted Answer

A) (2005, 2006, 2007, 2008} 
B) (2003, 2004} 
C) (2005, 2006, 2007} 
D) (2003, 2004, 2008} 
A) (2005, 2006, 2007, 2008} 
B) (2003, 2004} 
C) (2005, 2006, 2007} 
D) (2003, 2004, 2008}

Question 10

Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27
Contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12
Contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained
All three items. How many backpacks contained exactly two of the three writing instruments?

Accepted Answer

A) 11 
B) 2 
C) 15 
D) 3 
A) 11 
B) 2 
C) 15 
D) 3

Question 11

State whether the collection is well-defined or not well-defined.
{5, . . . }

Accepted Answer

A) Well-defined 
B) Not well-defined 
A) Well-defined 
B) Not well-defined

Question 12

Let U = {   is a natural number   15}   = {   is an odd natural number}   = {   is a prime number}.
Find n(   . Note: prime numbers are 2, 3, 5, 7 ,11, 13, 17, 19.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 13

In a group of 53 children, 22 had a dog, 18 had a cat, and 6 had both a dog and a cat. How many
Children had neither a dog nor a cat as a pet?

Accepted Answer

A) 31 
B) 37 
C) 12 
D) 19 
A) 31 
B) 37 
C) 12 
D) 19

Determine whether the two sets are equal.

Use the Venn diagram and find .

Show that the given set is countable. {3, 6, 9, 12, 15, ...}

Draw a Venn diagram and shade the sections representing .

Write the set using the descriptive method: {25, 26, 27, . . . , 45}

Find the number of subsets the set has. {1, 2, 3, 4, 5}

Find the general term of the set. {-10, -20, -30, -40, -50, . . .}

The graph below displays the median housing prices for all houses sold in Anywhere, US between 2003 and 2008. List the set of years in which the median price was above $150,000.

State whether the collection is well-defined or not well-defined. {5, . . . }

Let U = { is a natural number 15} = { is an odd natural number} = { is a prime number}. Find n( . Note: prime numbers are 2, 3, 5, 7 ,11, 13, 17, 19.

In a group of 53 children, 22 had a dog, 18 had a cat, and 6 had both a dog and a cat. How many Children had neither a dog nor a cat as a pet?

Problem Solving

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Numeration Systems

The Real Number System

Topics in Algebra

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Exam 2: Sets

Determine whether the two sets are equal.

Use the Venn diagram and find .

Show that the given set is countable. {3, 6, 9, 12, 15, ...}

Draw a Venn diagram and shade the sections representing .

Write the set using the descriptive method: {25, 26, 27, . . . , 45}

Find the number of subsets the set has. {1, 2, 3, 4, 5}

Find the general term of the set. {-10, -20, -30, -40, -50, . . .}

The graph below displays the median housing prices for all houses sold in Anywhere, US between 2003 and 2008. List the set of years in which the median price was above $150,000.

State whether the collection is well-defined or not well-defined. {5, . . . }

Let U = { is a natural number 15} = { is an odd natural number} = { is a prime number}. Find n( . Note: prime numbers are 2, 3, 5, 7 ,11, 13, 17, 19.

In a group of 53 children, 22 had a dog, 18 had a cat, and 6 had both a dog and a cat. How many Children had neither a dog nor a cat as a pet?

Problem Solving

Logic

Numeration Systems

The Real Number System

Topics in Algebra

Consumer Mathematics

Measurement

Geometry

Probability and Counting Techniques

Statistics

Voting Methods

Graph Theory

Available Online: Other Mathematical Systems

Filters