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Mathematics
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Using and Understanding Mathematics
Quiz 1: Thinking Critically
Path 4
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Question 41
Essay
Decide whether the statement makes sense. Explain your reasoning. -The premises are true and the conclusion is true, so the argument must be valid.
Question 42
Essay
Analyze the situation and explain how you would make a decision. -Betty has to go to New Orleans on business. If she flies there and back on the same day her round trip airfare will cost $700. If she stays overnight, her round trip airfare will cost $400, her hotel will cost $100, and three extra meals will cost $75. Which is the better option?
Question 43
Essay
Decide whether the statement makes sense. Explain your reasoning. -I drew a Venn diagram for two sets, and I only used one circle.
Question 44
Essay
Decide whether the statement makes sense. Explain your reasoning. -Your argument has no fallacies, so your conclusion must be true.
Question 45
Essay
Draw a Venn diagram to determine whether the argument is valid. -Premise: All lawyers wear suits. Premise: Jack wears a suit. Conclusion: Jack is a lawyer.
Question 46
Essay
The argument contains an example of the fallacy named in parentheses. Explain how the fallacy occurs in the argument. -(Hasty Generalization)Isabelle had vegetarian food for lunch every day last week, so she must be a vegetarian.
Question 47
Essay
A seemingly simple argument is given. Identify at least two hidden assumptions. -Cardiovascular exercise is important, because to be healthy you need a strong heart.
Question 48
Essay
Decide whether the statement makes sense. Explain your reasoning. -Your argument is sound, but it isn't valid.
Question 49
Essay
The argument contains an example of the fallacy named in parentheses. Explain how the fallacy occurs in the argument. -(Straw Man)Mayor Brown opposes a tax increase to build new schools. His opponent in the upcoming election states: Mayor Brown is not concerned with improving the quality of education for our children.
Question 50
Essay
Analyze the situation and explain how you would make a decision. -You are flying out on Monday morning and returning home Tuesday night. You need to decide how to get to and from your home airport. Driving each way costs $2 in gas, and long-term parking costs $10 per full or partial day. If you take taxis, it will cost $11 each way. Which option is better?
Question 51
Essay
Create a simple three-line argument for the given form. Choose your example so that it illustrates clearly whether or notthe argument is valid. -Denying the hypothesis
Question 52
Essay
Decide whether the statement makes sense. Explain your reasoning. -A and B are disjoint sets, so an object is either a member of set A or a member of set B, but not a member of both sets.
Question 53
Essay
Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion. -Premise: I get lower grades than my best friend in math, chemistry, and English. Conclusion: My friend is smarter than I am.