Understanding
Mathematics A Quantitative
th
Reasoning Approach 8
Edition By Jeffrey Bennett,
William Briggs
Answers at the end of each
chapter.
,Exam
Chapter 1 v i
Name
SHORT ANSWER. v i v i Write the word or phrase that best completes each statement or answers
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the question.
v i vi
The statement connects two individual propositions with the word or. State whether the entire statement is true or
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false, and explain why.
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1) 9 + 5 = 14 or 6 × 7 = 42
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Draw a Venn diagram to represent the given information.
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2) In a complex of 60 apartments, 40 apartments have cable television, 25 apartments have a 2)
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dishwasher, and 13 apartments have both cable television and a dishwasher.
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Decide whether the statement makes sense. Explain your reasoning.
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3) Insurance policy A costs $250 and has no deductible. Insurance policy B costs $275 and
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has a $500 yearly deductible. Candace thinks the extra $25 per month is worth it to
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get the $500 deductible, so she buys policy B.
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Draw a Venn diagram with three overlapping circles for the three given sets. Label the contents of every region. If a
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region has no members, state that fact clearly.
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4) salty things, sweet things, tangy things vi 4) vi vi vi vi
Decide whether the statement makes sense. Explain your reasoning.
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5) I know more of the names of the common fallacies in arguments than my father, so I can 5)
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recognize fallacies better than he can. vi vi vi vi vi
The statement contains a double or multiple negation. Analyze the statement, explaining what it means.
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6) "As your Senator, I cannot in good conscience oppose those who are against
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deregulation."
A seemingly simple argument is given. Identify at least two hidden assumptions.
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7) Cardiovascular exercise is important, because to be healthy you need a strong heart. vi vi vi vi vi vi vi vi vi vi vi vi 7)
Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint
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sets, or overlapping sets.
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8) beverages and soft drinks vi vi vi 8)
A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate
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sets, and draw a Venn diagram for the proposition. Label all regions of the diagram clearly.
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9) Movies are entertaining. vi vi 9)
Use your knowledge of the listed sets to draw a A Venn diagram illustrating the relationships among them.
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10) real numbers, integers, positive numbers, negative numbers, irrational numbers
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1
,The statement contains a double or multiple negation. Analyze the statement, explaining what it
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means.11) The House of Representatives voted to override the veto of the communications
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bill.
The statement connects two individual propositions with the word and. State whether the entire statement is true or
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false, and explain why.
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12) The sun is bigger than the moon and the sun rotates around the earth.
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The statement connects two individual propositions with the word or. State whether the entire statement is true or
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false, and explain why.
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13) There are 25 letters in the English alphabet or the letter c is a vowel.
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Analyze the situation and explain how you would make a decision.
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14) Your current cell phone company charges $30 per month for unlimited minutes.
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Another company charges $20 per month for the first 500 minutes plus 5¢ a minute
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for any additional minutes. Should you keep your current service or switch to the
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other company? vi v i
A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate
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sets, and draw a Venn diagram for the proposition. Label all regions of the diagram clearly.
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15) Some singers are not children. vi vi vi vi 15)
Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint
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sets, or overlapping sets.
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16) even numbers and odd numbers vi 16) vi vi vi
Describe how the sentence is ambiguous.
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17) There was a 15% decrease in donations to the homeless shelter between 1996 and 2000,
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a year in which $50,000 was collected.
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Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion.
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18) Premise: 6 + 13 = 19 vi18) vi vi vi vi
Premise: 16 + 9 = 25 vi vi vi vi vi
Premise: 34 + 35 = 69 vi vi vi vi vi
Conclusion: Whenever we add an even number and an odd number, the result is an odd vi vi vi vi vi vi vi vi vi vi vi vi vi vi vi
number. vi
Provide an appropriate response.
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19) The members of a union are on strike. They are satisfied with their hourly wage rate
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and benefits, but they want their overtime wage rate to be increased by 15% in their
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next contract. The head of management makes the following statement to the head
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of the union: "If you end the strike today and sign the contract, we will meet your
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demand and increase the overtime wage rate by 15%." Should the union head accept
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the offer? Explain. vi vi vi
The statement connects two individual propositions with the word and. State whether the entire statement is true or
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false, and explain why.
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20) George Washington was the first president of the United States of America and France
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is in Europe. vi vi vi
2
, The statement contains a double or multiple negation. Analyze the statement, explaining what it
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means.11) The House of Representatives voted to override the veto of the communications
vi vi vi vi vi vi vi vi vi vi vi vi 11)
bill.
3