Question 1

Write the converse, inverse, or contrapositive off the proposition, as indicated.
-If the alarm beeps every thirty seconds, then you have to replace the battery. (converse)

Accepted Answer

A) If you do not have to replace the battery, then the alarm does not beep every thirty seconds. 
B) If you have to replace the battery, then the alarm does not beep every thirty seconds. 
C) If you have to replace the battery, then the alarm beeps every thirty seconds. 
D) If the alarm does not beep every thirty seconds, then you do not have to replace the battery. 
A) If you do not have to replace the battery, then the alarm does not beep every thirty seconds. 
B) If you have to replace the battery, then the alarm does not beep every thirty seconds. 
C) If you have to replace the battery, then the alarm beeps every thirty seconds. 
D) If the alarm does not beep every thirty seconds, then you do not have to replace the battery.

Question 2

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number.
-$- 20.4$

Accepted Answer

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

Question 3

Decide whether the statement makes sense. Explain your reasoning.
-Your conditional deductive argument is valid. Therefore, it must be an example of
"Affirming the Hypothesis."

Accepted Answer

Does not make sense. There are four basi

Question 4

Determine whether the statement is a proposition.
-One inch is 2.54 meters.

Accepted Answer

A) Proposition 
B) Not a proposition 
A) Proposition 
B) Not a proposition

Question 5

Determine whether the statement is true or false.
-If a triangle is a parallelogram, then all rectangles are squares.

Accepted Answer

A) True 
 B)False

Question 6

The argument given or described involves some kind of fallacy. Identify the fallacy.
-A television commercial shows two people who fall in love while wearing a certain brand of blue jeans.

Accepted Answer

A) Appeal to emotion 
B) Limited choice 
C) Appeal to ignorance 
D) Hasty generalization 
A) Appeal to emotion 
B) Limited choice 
C) Appeal to ignorance 
D) Hasty generalization

Question 7

A reason for a particular political position is given. There may be other issues that are left unstated. Identify at least oneunstated issue that could be the "real issue" of concern.
-Smoking should be banned in all public places. Second-hand smoke is harmful, causing
lung cancer and heart disease.

Accepted Answer

Answers may vary. One possibility: The p

Question 8

State whether or is being used in the exclusive or inclusive sense in the given statement.
-The insurance policy will not cover misuse or acts of God.

Accepted Answer

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

Question 9

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.
-teachers, bowlers, and men

Accepted Answer

@#IMG-DLM&
I = female teachers who are not bowlers

Question 10

Decide whether the argument is inductive or deductive.
-All U.S. Presidents have come from the contiguous 48 states. No person from Alaska can be President.

Accepted Answer

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

Question 11

Decide whether the argument is inductive or deductive.
-$17 + 23 = 40,43 + 23 = 66,5 + 47 = 52$ . Therefore, the sum of two prime numbers is even.

Accepted Answer

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

Question 12

Decide whether the statement makes sense. Explain your reasoning.
-The argument is weak, so its conclusion must be incorrect.

Accepted Answer

Does not make sense. The strength of an

Question 13

Write the negation of the proposition.
-Not all people like football.

Accepted Answer

A) Some people do not like football. 
B) Some people like football. 
C) All people do not like football. 
D) All people like football. 
A) Some people do not like football. 
B) Some people like football. 
C) All people do not like football. 
D) All people like football.

Question 14

The statement contains a double or multiple negation. Analyze the statement, explaining what it means.
-The state assembly repealed the ban on anti-smoking resolutions.

Accepted Answer

Answers may vary. One possibility: The e

Question 15

Decide whether the statement makes sense. Explain your reasoning.
-The premises are true and the conclusion is true, so the argument must be valid.

Accepted Answer

Does not make sense. For an argument to

Write the converse, inverse, or contrapositive off the proposition, as indicated. -If the alarm beeps every thirty seconds, then you have to replace the battery. (converse)

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number. - $- 20.4$

Decide whether the statement makes sense. Explain your reasoning. -Your conditional deductive argument is valid. Therefore, it must be an example of "Affirming the Hypothesis."

Determine whether the statement is a proposition. -One inch is 2.54 meters.

Determine whether the statement is true or false. -If a triangle is a parallelogram, then all rectangles are squares.

The argument given or described involves some kind of fallacy. Identify the fallacy. -A television commercial shows two people who fall in love while wearing a certain brand of blue jeans.

A reason for a particular political position is given. There may be other issues that are left unstated. Identify at least oneunstated issue that could be the "real issue" of concern. -Smoking should be banned in all public places. Second-hand smoke is harmful, causing lung cancer and heart disease.

State whether or is being used in the exclusive or inclusive sense in the given statement. -The insurance policy will not cover misuse or acts of God.

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. -teachers, bowlers, and men

Decide whether the argument is inductive or deductive. -All U.S. Presidents have come from the contiguous 48 states. No person from Alaska can be President.

Decide whether the argument is inductive or deductive. - $17 + 23 = 40,43 + 23 = 66,5 + 47 = 52$ . Therefore, the sum of two prime numbers is even.

Decide whether the statement makes sense. Explain your reasoning. -The argument is weak, so its conclusion must be incorrect.

Write the negation of the proposition. -Not all people like football.

The statement contains a double or multiple negation. Analyze the statement, explaining what it means. -The state assembly repealed the ban on anti-smoking resolutions.

Decide whether the statement makes sense. Explain your reasoning. -The premises are true and the conclusion is true, so the argument must be valid.

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