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Using & Understanding Mathematics: A Quantitative
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Reasoning Approach
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Jeffrey O. Bennett, William L. Briggs
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8th edition
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The statement connects two individual propositions with the word and. State whether the entire statement is true or false,
and explain why.
12) The sun is bigger than the moon and the sun rotates around the earth. 12)
The statement connects two individual propositions with the word or. State whether the entire statement is true or false,
and explain why.
13) There are 25 letters in the English alphabet or the letter c is a vowel. 13)
Analyze the situation and explain how you would make a decision.
14) Your current cell phone company charges $30 per month for unlimited minutes. Another
14)
company charges $20 per month for the first 500 minutes plus 5¢ a minute for any
additional minutes. Should you keep your current service or switch to the other
company?
A categorical proposition is given. If it is not already in standard form, rephrase it. State the subject and predicate sets,
and draw a Venn diagram for the proposition. Label all regions of the diagram clearly.
15) Some singers are not children. 15)
Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint sets, or
overlapping sets.
16) even numbers and odd numbers 16)
Describe how the sentence is ambiguous.
17) There was a 15% decrease in donations to the homeless shelter between 1996 and 2000, a
17)
year in which $50,000 was collected.
Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion.
18) Premise: 6 + 13 = 19 18)
Premise: 16 + 9 = 25
Premise: 34 + 35 = 69
Conclusion: Whenever we add an even number and an odd number, the result is an odd
number.
Provide an appropriate response.
19) The members of a union are on strike. They are satisfied with their hourly wage rate and
benefits, but they want their overtime wage rate to be increased by 15% in their next 19)
contract. The head of management makes the following statement to the head of the
union: "If you end the strike today and sign the contract, we will meet your demand and
increase the overtime wage rate by 15%." Should the union head accept the offer? Explain.
The statement connects two individual propositions with the word and. State whether the entire statement is true or false,
and explain why.
20) George Washington was the first president of the United States of America and France is in Europe.
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