Test Bank for Using and Understanding Mathematics A Quantitative Reasoning Approach 7e Jeffrey Bennett, William Briggs (Answers At The End Of Each Chapter)

Test Bank for Using and Understanding Mathematics A Quantitative Reasoning Approach 7e Jeffrey Bennett, William Briggs (Answers At The End Of Each Chapter)-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. 1) Some dogs are adorable. 1) Decide whether the statement makes sense. Explain your reasoning. 2) The premises are true and the conclusion is true, so the argument must be valid. 2) 3) Javier takes a shower to save time. When he gets into the shower at 6:50, he is out by 7:10. When he used to take baths, it would take him a quarter of an hour. 3) A reason for a particular political position is given. There may be other issues that are left unstated. Identify at least one unstated issue that could be the "real issue" of concern. 4) I think term limits should be enacted for the Senate. A senator should not be allowed to serve more than two consecutive terms, because professional politicians become too focused on getting reelected. Draw a Venn diagram to represent the given information. 5) In a freshman class of 50 students, 30 students are taking math, 24 students are taking history, and 15 students are taking both math and history. 4) 5) The statement contains a double or multiple negation. Analyze the statement, explaining what it means. 6) "As your Senator, I cannot in good conscience oppose those who are against deregulation." 6) Draw a Venn diagram to determine whether the argument is valid. 7) Premise: No surfers speak French. Premise: Pierre speaks French. Conclusion: Pierre is not a surfer. 7) The argument contains an example of the fallacy named in parentheses. Explain how the fallacy occurs in the argument. 8) (Appeal to Emotion) A television commercial shows a happy, attractive family dining at Ma & Pa's Restaurant. 8) Describe how the sentence is ambiguous. 9) Our goal is to increase voter participation from 25% of the eligible voters, or 4000, to 50%. 9) Identify the type of argument and determine its validity with a Venn diagram. 10) Premise: If you cut me, I bleed. Premise: I do not bleed. Conclusion: You did not cut me. 10) 2 Draw a Venn diagram to determine whether the argument is valid. 11) Premise: All snakes have fangs. Premise: Teri's pet does not have fangs. Conclusion: Teri's pet is not a snake. Provide an appropriate response. 12) 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 11) 12) (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 inco $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. 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. 13) No positive numbers are negative numbers. 13) Decide whether the statement makes sense. Explain your reasoning. 14) Your conditional deductive argument is valid. Therefore, it must be an example of "Affirming the Hypothesis." 14) 15) Your argument is sound, but it isn't valid. 15) The statement connects two individual propositions with the word and. State whether the entire statement is true or false, and explain why. 16) George Washington was the first president of the United States of America and France is in Europe. 16) The statement connects two individual propositions with the word or. State whether the entire statement is true or false, and explain why. 17) The grass is wet or the grass is dry. 17) Use your knowledge of the listed sets to draw a A Venn diagram illustrating the relationships among them. 18) clothes, shirts, pants, shoes, fancy duds 18) Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or not the argument is valid. 19) Affirming the conclusion 19) Use your knowledge of the listed sets to draw a A Venn diagram illustrating the relationships among them. 20) real numbers, integers, positive numbers, negative numbers, irrational numbers 20) 3 Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or not the argument is valid. 21) Affirming the hypothesis 21) Identify the type of argument and determine its validity with a Venn diagram. 22) Premise: If you try hard, then you will succeed. Premise: You did not try hard. Conclusion: You will not succeed. 22) Decide whether the statement makes sense. Explain your reasoning. 23) The argument is weak, so its conclusion must be false. 23) 24) Wayne's bank charges a $1 service charge for every transaction. To save money, he withdraws $100 cash every other week instead of withdrawing $50 every week. 24) Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion. 25) Premise: 8 + 11 = 19 Premise: 12 + 7 = 19 Premise: 38 + 33 = 71 Conclusion: Whenever we add an even number and an odd number, the result is an odd nu 25) Decide whether the statement makes sense. Explain your reasoning. 26) I did not convince my friend that I was right, so I must not have argued logically. 26) A seemingly simple argument is given. Identify at least two hidden assumptions. 27) Cardiovascular exercise is important, because to be healthy you need a strong heart. 27) The statement contains a double or multiple negation. Analyze the statement, explaining what it means. 28) The House of Representatives voted to override the veto of the communications bill. 28) Analyze the situation and explain how you would make a decision. 29) The costs per day of driving to work are $5 for gas, $10 for parking, and $1 for wear-and-tear on the car. Taking the train to work costs $6.50 each way, plus $1.50 per day to park at the train station. Should you drive or take the train? Decide whether the statement makes sense. Explain your reasoning. 30) Insurance policy A costs $250 and has no deductible. Insurance policy B costs $275 and has a $500 yearly deductible. Candace thinks the extra $25 per month is worth it to get the $500 deductible, so she buys policy B. Draw a Venn diagram to represent the given information. 31) There are 12 girls and 15 boys in a kindergarten class. 8 of the girls and 10 of the boys are right handed. 29) 30) 31) Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or not the argument is valid. 32) Denying the conclusion