Question 1

Use braces to write the members of the set, or state that the set has no members.
-The positive-integer powers of 3

Accepted Answer

A)  $\{ 1,3,9,27,81,243 , \ldots \}$ 
B)  $\{ 1,8,27,64,125 , \ldots \}$ 
C)  $\{ 3,9,27,81,243 , \ldots \}$ 
D)  $\{ 3,6,9,12,15 , \ldots \}$ 
A)  $\{ 1,3,9,27,81,243 , \ldots \}$ 
B)  $\{ 1,8,27,64,125 , \ldots \}$ 
C)  $\{ 3,9,27,81,243 , \ldots \}$ 
D)  $\{ 3,6,9,12,15 , \ldots \}$ C

Question 2

Write the converse, inverse, or contrapositive off the proposition, as indicated.
-If I pass, then I'll celebrate. (contrapositive)

Accepted Answer

A) If I celebrate, then I'll pass. 
B) If I don't celebrate, then I didn't pass. 
C) If I pass, then I won't celebrate. 
D) If I don't pass, then I won't celebrate. 
A) If I celebrate, then I'll pass. 
B) If I don't celebrate, then I didn't pass. 
C) If I pass, then I won't celebrate. 
D) If I don't pass, then I won't celebrate. B

Question 3

Draw a Venn diagram with three overlapping circles for the three given sets. Label the contents of every region. If aregion has no members, state that fact clearly.
-truck drivers, employed, unemployed

Accepted Answer

$I ^ { * } =$ truck drivers who are neither employed nor unemployed
II = employed truck drivers
III = non-truck drivers who are employed
IV = unemployed truck drivers
$\mathrm { V } ^ { * } =$ truck drivers who are both employed and unemployed
$\mathrm { VI } ^ { * } =$ non-truck drivers who are both employed and unemployed
VII $=$ non-truck drivers who are unemployed
$\mathrm { VIII } ^ { * } =$ non-truck drivers who are neither employed nor unemployed
${ } ^ { * }$ This region has no members.

Question 4

Two statements are listed in which p, q, and r represent propositions. Are the two statements logically equivalent?
-(p or q)or r; p or (q or r)

Accepted Answer

A) True 
 B)False

Question 5

Provide an appropriate response.
-IRS guidelines state that a married person under 65 years of age who can be claimed as a
dependent on another person's tax return must file a return if
(i)unearned income was over $750; or
(ii)earned income was over $3925; or
(iii)total of earned and unearned income was at least $5 and your spouse files a separate
return and itemizes deductions; or
(iv)total of earned and unearned income was more than the greater of
a)$750; or
b)earned income (up to $3675)plus $250.
Kevin is 25 years old and can be claimed as a dependent by his mother. He had earned
income of $3500 and unearned income of $700. Kevin's wife Linda files a separate return
but does not itemize deductions. Must Kevin file a return? Explain.

Accepted Answer

Yes, Kevin must file a return. He is a m

Question 6

Describe how the sentence is ambiguous.
-Our goal is to increase voter participation from 25% of the eligible voters, or 4000, to 50%.

Accepted Answer

It is unclear whether 4000 is

Question 7

The statement contains a double or multiple negation. Analyze the statement, explaining what it means.
-"As your Senator, I cannot in good conscience oppose those who are against deregulation."

Accepted Answer

Answers may vary. One possibility: There

Question 8

Draw a Venn diagram to represent the given information.
-In a complex of 60 apartments, 40 apartments have cable television, 25 apartments have a
dishwasher, and 13 apartments have both cable television and a dishwasher.

Accepted Answer

The answer of Draw a Venn diagram to represent the...

Question 9

The argumentgiven or described involves some kind of fallacy. Identify the fallacy.
-We must limit immigration to the United States in order to sustain the prosperous economy. A strong economy is vital to the health and wealth of the American people and the future of our
Children.

Accepted Answer

A) Straw man 
B) Diversion (red herring) 
C) Appeal to force 
D) False cause 
A) Straw man 
B) Diversion (red herring) 
C) Appeal to force 
D) False cause

Question 10

Decide whether the argument is inductive or deductive.
-Fresh fruit is expensive in winter. This is January, so these fresh strawberries will be expensive.

Accepted Answer

A) Deductive 
B) Inductive 
A) Deductive 
B) Inductive

Question 11

Draw a Venn diagram to determine whether the argument is valid.
-Premise: All lawyers wear suits.
Premise: Jack wears a suit.
Conclusion: Jack is a lawyer.

Accepted Answer

@#IMG-DLM& The X represents Jack. We do not have e

Question 12

Determine whether the statement is true or false.
-If baseball is a sport, then the letter e is a consonant.

Accepted Answer

A) True 
 B)False

Question 13

Rephrase the statement as a conditional proposition with the form "if p, then q."
-Being in California is sufficient for being in Los Angeles.

Accepted Answer

A) If you are in Los Angeles, then you might be in California. 
B) If you are in Los Angeles, then you are in California. 
C) If you are in California, then you are not in Los Angeles. 
D) If you are in California, then you are in Los Angeles. 
A) If you are in Los Angeles, then you might be in California. 
B) If you are in Los Angeles, then you are in California. 
C) If you are in California, then you are not in Los Angeles. 
D) If you are in California, then you are in Los Angeles.

Question 14

Two statements are listed in which p, q, and r represent propositions. Are the two statements logically equivalent?
-p or q; not [(not p)and (not q)]

Accepted Answer

A) True 
 B)False

Question 15

State whether or is being used in the exclusive or inclusive sense in the given statement.
-I don't know if I should wear my new skirt or my new dress tonight.

Accepted Answer

A) Exclusive 
B) Inclusive 
A) Exclusive 
B) Inclusive

Question 16

The argument contains an example of the fallacy named in parentheses. Explain how the fallacy occurs in the argument.
-(Straw Man)Mayor Brown opposes a tax increase to build new schools. His opponent in
the upcoming election states: Mayor Brown is not concerned with improving the quality of
education for our children.

Accepted Answer

Mayor Brown has not said that he is not

Question 17

Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion.
-Premise: Baseball, football, basketball, golf, hockey, and tennis are all played with a ball.
Conclusion: All sports are played with a ball.

Accepted Answer

The premise is false. Most of the sports

Question 18

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number.
-19

Accepted Answer

A) Integers 
B) Natural numbers 
C) Real numbers 
D) Whole numbers 
A) Integers 
B) Natural numbers 
C) Real numbers 
D) Whole numbers

Question 19

A seemingly simple argument is given. Identify at least two hidden assumptions.
-Cardiovascular exercise is important, because to be healthy you need a strong heart.

Accepted Answer

Answers may vary. One possibil

Question 20

Write the negation of the proposition.
-Susie lives in a green house.

Accepted Answer

A) Susie lives in a blue house. 
B) Susie does not live in a house that is not green. 
C) Susie does not live in a green house. 
D) Billy lives in a green house. 
A) Susie lives in a blue house. 
B) Susie does not live in a house that is not green. 
C) Susie does not live in a green house. 
D) Billy lives in a green house.

Use braces to write the members of the set, or state that the set has no members. -The positive-integer powers of 3

Write the converse, inverse, or contrapositive off the proposition, as indicated. -If I pass, then I'll celebrate. (contrapositive)

Draw a Venn diagram with three overlapping circles for the three given sets. Label the contents of every region. If aregion has no members, state that fact clearly. -truck drivers, employed, unemployed

Two statements are listed in which p, q, and r represent propositions. Are the two statements logically equivalent? -(p or q)or r; p or (q or r)

Describe how the sentence is ambiguous. -Our goal is to increase voter participation from 25% of the eligible voters, or 4000, to 50%.

The statement contains a double or multiple negation. Analyze the statement, explaining what it means. -"As your Senator, I cannot in good conscience oppose those who are against deregulation."

Draw a Venn diagram to represent the given information. -In a complex of 60 apartments, 40 apartments have cable television, 25 apartments have a dishwasher, and 13 apartments have both cable television and a dishwasher.

The argumentgiven or described involves some kind of fallacy. Identify the fallacy. -We must limit immigration to the United States in order to sustain the prosperous economy. A strong economy is vital to the health and wealth of the American people and the future of our Children.

Decide whether the argument is inductive or deductive. -Fresh fruit is expensive in winter. This is January, so these fresh strawberries will be expensive.

Draw a Venn diagram to determine whether the argument is valid. -Premise: All lawyers wear suits. Premise: Jack wears a suit. Conclusion: Jack is a lawyer.

Determine whether the statement is true or false. -If baseball is a sport, then the letter e is a consonant.

Rephrase the statement as a conditional proposition with the form "if p, then q." -Being in California is sufficient for being in Los Angeles.

Two statements are listed in which p, q, and r represent propositions. Are the two statements logically equivalent? -p or q; not [(not p)and (not q)]

State whether or is being used in the exclusive or inclusive sense in the given statement. -I don't know if I should wear my new skirt or my new dress tonight.

Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion. -Premise: Baseball, football, basketball, golf, hockey, and tennis are all played with a ball. Conclusion: All sports are played with a ball.

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number. -19

A seemingly simple argument is given. Identify at least two hidden assumptions. -Cardiovascular exercise is important, because to be healthy you need a strong heart.

Write the negation of the proposition. -Susie lives in a green house.

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Exponential Astonishment

Modeling Our World

Modeling With Geometry

Mathematics and the Arts

Filters

Exam 1: Thinking Critically

Use braces to write the members of the set, or state that the set has no members. -The positive-integer powers of 3

Write the converse, inverse, or contrapositive off the proposition, as indicated. -If I pass, then I'll celebrate. (contrapositive)

Draw a Venn diagram with three overlapping circles for the three given sets. Label the contents of every region. If aregion has no members, state that fact clearly. -truck drivers, employed, unemployed

Two statements are listed in which p, q, and r represent propositions. Are the two statements logically equivalent? -(p or q)or r; p or (q or r)

Describe how the sentence is ambiguous. -Our goal is to increase voter participation from 25% of the eligible voters, or 4000, to 50%.

The statement contains a double or multiple negation. Analyze the statement, explaining what it means. -"As your Senator, I cannot in good conscience oppose those who are against deregulation."

Draw a Venn diagram to represent the given information. -In a complex of 60 apartments, 40 apartments have cable television, 25 apartments have a dishwasher, and 13 apartments have both cable television and a dishwasher.

The argumentgiven or described involves some kind of fallacy. Identify the fallacy. -We must limit immigration to the United States in order to sustain the prosperous economy. A strong economy is vital to the health and wealth of the American people and the future of our Children.

Decide whether the argument is inductive or deductive. -Fresh fruit is expensive in winter. This is January, so these fresh strawberries will be expensive.

Draw a Venn diagram to determine whether the argument is valid. -Premise: All lawyers wear suits. Premise: Jack wears a suit. Conclusion: Jack is a lawyer.

Determine whether the statement is true or false. -If baseball is a sport, then the letter e is a consonant.

Rephrase the statement as a conditional proposition with the form "if p, then q." -Being in California is sufficient for being in Los Angeles.

Two statements are listed in which p, q, and r represent propositions. Are the two statements logically equivalent? -p or q; not [(not p)and (not q)]

State whether or is being used in the exclusive or inclusive sense in the given statement. -I don't know if I should wear my new skirt or my new dress tonight.

Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion. -Premise: Baseball, football, basketball, golf, hockey, and tennis are all played with a ball. Conclusion: All sports are played with a ball.

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number. -19

A seemingly simple argument is given. Identify at least two hidden assumptions. -Cardiovascular exercise is important, because to be healthy you need a strong heart.

Write the negation of the proposition. -Susie lives in a green house.

Approaches to Problem Solving

Numbers in the Real World

Managing Money

Statistical Reasoning

Putting Statistics to Work

Probability: Living With the Odds

Exponential Astonishment

Modeling Our World

Modeling With Geometry

Mathematics and the Arts

Filters