Question 1

Find the general term of the set.

Accepted Answer

The answer of Find the general term of the set....

Question 2

If   = {Bob, Ann, Mae, Eve, Dan, Kim, Tal, Vic},   = {Ann, Eve, Dan, Kim}, and   = {Bob, Ann, Mae, Eve} find

Accepted Answer

A) Both are {Ann, Eve} 
B)    
C) Both are {Tal, Vic} 
D) Both are {Bob, Ann, Mae, Eve, Dan, Kim} 
A) Both are {Ann, Eve} 
B)    
C) Both are {Tal, Vic} 
D) Both are {Bob, Ann, Mae, Eve, Dan, Kim}

Question 3

In a survey of 18 college students, it was found that 11 were taking an English class, 6 were taking a
Math class, and 4 were taking both English and math. How many students were taking a math class
Only?

Accepted Answer

A) 11 
B) 2 
C) 7 
D) 5 
A) 11 
B) 2 
C) 7 
D) 5

Question 4

Write the set using set-builder notation:
The set of natural numbers greater than 11.

Accepted Answer

A) {12, 13, 14, 15, . . .} 
B)    
C) {11, 12, 13, 14, . . .} 
D)    
A) {12, 13, 14, 15, . . .} 
B)    
C) {11, 12, 13, 14, . . .} 
D)

Question 5

Write the set using roster notation:

Accepted Answer

A) {25, 26, 27, 28, . . .} 
B)    
C)    
D) {24, 25, 26, 27, . . .} 
A) {25, 26, 27, 28, . . .} 
B)    
C)    
D) {24, 25, 26, 27, . . .}

Question 6

Draw a Venn diagram and shade the sections representing

Accepted Answer

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

Question 7

Classify each pair of sets as equal, equivalent, or neither.
{1, 2, 3, . . ., 10} and {10, 9, 8, . . ., 1}

Accepted Answer

A) equal and equivalent 
B) neither 
C) equivalent 
A) equal and equivalent 
B) neither 
C) equivalent

Question 8

Which set is finite?

Accepted Answer

A) {2, 4, 6, 8, 10, 12, . . .} 
B)    
C)    
D)    
A) {2, 4, 6, 8, 10, 12, . . .} 
B)    
C)    
D)

Question 9

Show that the set of positive rational numbers with denominators 3 or 5 is a countable set. (Rational
numbers are fractions with integers in the numerator and denominator.)

Accepted Answer

The answer of Show that the set of positive rational...

Question 10

Since the student union is being remodeled, there is a limited choice of foods and drinks a student
Can buy for a snack between classes. Students can choose none, some, or all of these items:
Diet soft drink, cheeseburger, fries. How many different selections can be made?

Accepted Answer

A) 9 
B) 3 
C) 7 
D) 8 
A) 9 
B) 3 
C) 7 
D) 8

Question 11

Show that the pair of sets is equivalent by using a one-to-one correspondence.
{   is an odd natural number between 8 and 20} and
{x   is an even natural number between 13 and 25}

Accepted Answer

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

Question 12

Let   = {5, 10, 15, 20, 25, 30, 35, 40}   = {5, 10, 15, 20}   = {25, 30, 35, 40}   = {10, 20, 30, 40}.

Accepted Answer

A)    
B)    = {25, 35} 
C)    = {5, 10, 15, 20, 25, 30, 35, 40} 
D)    = {5, 15, 25, 30, 35, 40} 
A)    
B)    = {25, 35} 
C)    = {5, 10, 15, 20, 25, 30, 35, 40} 
D)    = {5, 15, 25, 30, 35, 40}

Question 13

Let   = {5, 10, 15, 20, 25, 30, 35, 40}   = {5, 10, 15, 20}   = {25, 30, 35, 40}   = {10, 20, 30, 40}.
Find A   C.

Accepted Answer

A)    = {5, 15, 30, 40} 
B)    
C)    = {10, 20} 
D)    = {5, 10, 15, 20, 30, 40} 
A)    = {5, 15, 30, 40} 
B)    
C)    = {10, 20} 
D)    = {5, 10, 15, 20, 30, 40}

Question 14

One weekend, there were 98 pizzas ordered for the sophomore dorm. That weekend 19 customers
Ordered their pizza with just pepperoni, 16 customers ordered their pizza with just sausage, 20
Ordered theirs with just onions, 15 ordered theirs with pepperoni and sausage, 9 ordered theirs with
Sausage and onions, 17 ordered theirs with pepperoni and onions, and 2 ordered theirs with all three
Items. How many customers ordered their pizza with pepperoni or sausage (or both)?

Accepted Answer

A) 72 
B) 35 
C) 50 
D) 13 
A) 72 
B) 35 
C) 50 
D) 13

Question 15

{4}   {2, 4, 6, 8, 10}

Accepted Answer

A) True 
 B)False

Question 16

Draw a Venn diagram and shade the sections representing

Accepted Answer

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

Question 17

Find all proper subsets of the set. {c, f, x}

Accepted Answer

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

Question 18

{students running cross country},   {students swimming}, and   {students running track}.
Draw a Venn diagram of   , and write a sentence describing what the set represents.

Accepted Answer

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

Question 19

Use the Venn diagram and find   .

Accepted Answer

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

Question 20

Classify each pair of sets as equal, equivalent, or neither.
{1, 3, 5} and {2, 4, 6, 8}

Accepted Answer

A) neither 
B) equivalent 
C) equal and equivalent 
A) neither 
B) equivalent 
C) equal and equivalent

Find the general term of the set.

If = {Bob, Ann, Mae, Eve, Dan, Kim, Tal, Vic}, = {Ann, Eve, Dan, Kim}, and = {Bob, Ann, Mae, Eve} find

In a survey of 18 college students, it was found that 11 were taking an English class, 6 were taking a Math class, and 4 were taking both English and math. How many students were taking a math class Only?

Write the set using set-builder notation: The set of natural numbers greater than 11.

Write the set using roster notation:

Draw a Venn diagram and shade the sections representing

Classify each pair of sets as equal, equivalent, or neither. {1, 2, 3, . . ., 10} and {10, 9, 8, . . ., 1}

Which set is finite?

Show that the set of positive rational numbers with denominators 3 or 5 is a countable set. (Rational numbers are fractions with integers in the numerator and denominator.)

Since the student union is being remodeled, there is a limited choice of foods and drinks a student Can buy for a snack between classes. Students can choose none, some, or all of these items: Diet soft drink, cheeseburger, fries. How many different selections can be made?

Show that the pair of sets is equivalent by using a one-to-one correspondence. { is an odd natural number between 8 and 20} and {x is an even natural number between 13 and 25}

Let = {5, 10, 15, 20, 25, 30, 35, 40} = {5, 10, 15, 20} = {25, 30, 35, 40} = {10, 20, 30, 40}.

Let = {5, 10, 15, 20, 25, 30, 35, 40} = {5, 10, 15, 20} = {25, 30, 35, 40} = {10, 20, 30, 40}. Find A C.

{4} {2, 4, 6, 8, 10}

Draw a Venn diagram and shade the sections representing

Find all proper subsets of the set. {c, f, x}

{students running cross country}, {students swimming}, and {students running track}. Draw a Venn diagram of , and write a sentence describing what the set represents.

Use the Venn diagram and find .

Classify each pair of sets as equal, equivalent, or neither. {1, 3, 5} and {2, 4, 6, 8}

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Exam 2: Sets

Find the general term of the set.

If = {Bob, Ann, Mae, Eve, Dan, Kim, Tal, Vic}, = {Ann, Eve, Dan, Kim}, and = {Bob, Ann, Mae, Eve} find

In a survey of 18 college students, it was found that 11 were taking an English class, 6 were taking a Math class, and 4 were taking both English and math. How many students were taking a math class Only?

Write the set using set-builder notation: The set of natural numbers greater than 11.

Write the set using roster notation:

Draw a Venn diagram and shade the sections representing

Classify each pair of sets as equal, equivalent, or neither. {1, 2, 3, . . ., 10} and {10, 9, 8, . . ., 1}

Which set is finite?

Show that the set of positive rational numbers with denominators 3 or 5 is a countable set. (Rational numbers are fractions with integers in the numerator and denominator.)

Since the student union is being remodeled, there is a limited choice of foods and drinks a student Can buy for a snack between classes. Students can choose none, some, or all of these items: Diet soft drink, cheeseburger, fries. How many different selections can be made?

Show that the pair of sets is equivalent by using a one-to-one correspondence. { is an odd natural number between 8 and 20} and {x is an even natural number between 13 and 25}

Let = {5, 10, 15, 20, 25, 30, 35, 40} = {5, 10, 15, 20} = {25, 30, 35, 40} = {10, 20, 30, 40}.

Let = {5, 10, 15, 20, 25, 30, 35, 40} = {5, 10, 15, 20} = {25, 30, 35, 40} = {10, 20, 30, 40}. Find A C.

{4} {2, 4, 6, 8, 10}

Draw a Venn diagram and shade the sections representing

Find all proper subsets of the set. {c, f, x}

{students running cross country}, {students swimming}, and {students running track}. Draw a Venn diagram of , and write a sentence describing what the set represents.

Use the Venn diagram and find .

Classify each pair of sets as equal, equivalent, or neither. {1, 3, 5} and {2, 4, 6, 8}

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