
Concept explainers
Recognizing Fallacies. In the following arguments, identify the premise(s) and conclusion, explain why the argument is deceptive, and , if possible, identify the type of fallacy it represents.
25. Obesity among Americans has increased steadily; as has the sale of video games. It follows that video games are compromising the health of Americans.
26. The polls show the Republican candidate leading by a 2-to-1 margin, so you should vote for the Republican.
27. All the mayors of my hometown have been men, which shows that men are better qualified for high office than women.
28. My father tells me that I should exercise daily. But he never exercised when he was young, so I see no need to follow his advice.
29. My baby was vaccinated and later developed autism, which is why I believe that vaccines cause autism.
30. The state has no right to take a life, so the death penalty should be abolished.
31. Everyone loves Shakespeare, because his plays have been read for many centuries.
32. Claims that GMO foods are unsafe are ridiculous, as I’ve never heard of anyone getting sick from them.
33. I will not give money to the earthquake relief effort. Alter I last gave to a charity, an audit showed that most of the money was used to pay its administrators in the front office.
34. It’s not surprising that President Obama’s budget contains spending increases. Democrats don’t care about taxpayers’ money.
35. The Congressperson is a member of the National Rifle Association, so I’m sure she will not support a ban on assault rifles.
36. My three friends who drink wine have never had heart attacks. My two friends who have had heart attacks are non-drinkers. Drinking wine is clearly a good therapy.
37. Responding to Republicans who want to end the estate tax, which falls most heavily on the wealth, a Democrat says, "The Republicans think that rich people aren’t rich enough."
38. The Wyoming toad has not been seen outside of captivity since 2002, so it must be extinct in the wild.
39. My little boy loves dolls and my little girl loves trucks, so there’s no truth to the claim that boys are more interested in mechanical toys while girls prefer maternal toys.
40. Responding to Democrats who want to raise the fuel efficiency standards for new cars and trucks, a Republican says, "Democrats think that government is the solution to all our problems….

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Chapter 1 Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
- A research team consists of 4 senior researchers and 10 research assistants. The team needs to select 2 senior researchers and 2 research assistants to attend a conference. How many different ways can the group being sent to the conference be formed?arrow_forwardThere are 25 different varieties of flowering plants found in a natural habitat you are studying. You are asked to randomly select 5 of these flowering plant varieties to bring back to your laboratory for further study. How many different combinations of are possible? That is, how many possible 5 plant subgroups can be formed out of the 25 total plants found?arrow_forwardA person is tossing a fair, two-sided coin three times and recording the results (either a Heads, H, or a Tails, T). Let E be the event that exactly two heads are tossed. Which of the following sets represent the event E? Group of answer choices {HHT, HTH, THH} {HHT, THH} {HHH, HHT, HTH, THH, TTT, TTH, THT, HTT} {HH}arrow_forward
- Take Quiz 54m Exit Let the universal set be whole numbers 1 through 20 inclusive. That is, U = {1, 2, 3, 4, . . ., 19, 20}. Let A, B, and C be subsets of U. Let A be the set of all prime numbers: A = {2, 3, 5, 7, 11, 13, 17, 19} Let B be the set of all odd numbers: B = {1,3,5,7, • • , 17, 19} Let C be the set of all square numbers: C = {1,4,9,16} ☐ Question 2 3 pts Which of the following statement(s) is true? Select all that apply. (1) АСВ (2) A and C are disjoint (mutually exclusive) sets. (3) |B| = n(B) = 10 (4) All of the elements in AC are even numbers. ☐ Statement 1 is true. Statement 2 is true. Statement 3 is true. Statement 4 is true.arrow_forward☐ Question 1 2 pts Let G be the set that represents all whole numbers between 5 and 12 exclusive. Which of the following is set G in standard set notation. (Roster Method)? O G = [5, 12] G = {5, 6, 7, 8, 9, 10, 11, 12} O G = (5, 12) OG = {6, 7, 8, 9, 10, 11}arrow_forwardSolve 11.23arrow_forward
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