Northern Virginia Community CollegeMATH 154Quiz 1_ Logic; Fallacies; Unions vs Intersections; If p then q; TRUTH Tables; Sets; Venns; Inductive ( VERIFIED ANSWERS )

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In the Venn diagram to the right, what does X tell us? athletes mechanics Choose the correct answer below. A. The X represents that some are not , because the circle for is not contained in the c... ircle for . athletes mechanics athletes mechanics B. The X represents that some are because, in a Venn diagram, where the two circles overlap indicates common members of both sets. athletes mechanics C. The X represents that some are because the statement about the two sets, in standard form, is true. athletes mechanics D. The X represents that no athletes are mechanics, because the X is in neither circle. E. The X represents that no are , because the statement about the two sets, in standard form, is false. athletes mechanics Consider the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers. Identify the first set in the list that describes the given number. 5 / 9 Choose the correct answer below. A. Natural numbers B. Rational numbers C. Real numbers D. Integers E. Whole numbers3. 4. 5. Make a truth table for the given statement. Assume that s and q represent propositions. if s, then q Complete the truth table. s q if s, then q T T T T F F F T T F F T YOU ANSWERED: F F Identify at least two hidden assumptions in the following argument. I support increased military spending because we need a strong country. Which of the following are hidden assumptions for this argument? Select all that apply. A. A stronger country means a stronger military. B. More military spending will mean a better military. C. A stronger military means a stronger country. D. Military spending is important. YOU ANSWERED: D. Make a truth table for the given statement. Assume that p, q, r, and s represent propositions. (not r) and r Complete the truth table. r not r (not r) and r T F F F T F6. Consider the following example of the logical fallacy of circular reasoning. Complete parts (a) and (b) below. It's illegal to drive over the speed limit and breaking the law makes you a criminal, so people who exceed the speed limit are criminals. a. What is the premise? Choose the correct answer below. A. People should never exceed the speed limit. B. People who exceed the speed limit are criminals. C. It's illegal to drive over the speed limit. D. Laws about exceeding the speed limit. b. What is the conclusion? Choose the correct answer below. A. Criminals are against the law. B. It's illegal to drive over the speed limit. C. The speed limit should be raised. D. People who exceed the speed limit are criminals. Briefly explain how circular reasoning occurs in the argument. Choose the correct answer below. A. The conclusion is a restatement of the premise. B. This argument is based on a distortion of someone's words or beliefs. C. This argument is circular because it questions the motives of the drivers who speed. D. This argument uses ignorance about the truth of a proposition to conclude the opposite. [Show More]

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