Exam 1: Thinking Critically

Analyze the situation and explain how you would make a decision. -You want a new car but plan to use it for only 2 years. The cost of leasing is $2,000 down and $300 per month. The cost of buying is $20,000, and you can expect to sell it in two years for approximately $12,000. Which is the better option?

Rephrase the statement as a conditional proposition with the form "if p, then q." -I will lose weight if I diet.

Draw a Venn diagram to determine whether the argument is valid. -Premise: All clowns wear makeup. Premise: Bozo is a clown. Conclusion: Bozo wears makeup.

Decide whether the statement makes sense. Explain your reasoning. -Your argument has no fallacies, so your conclusion must be true.

Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion. -Premise: $8 + 13 = 21$ Premise: $16 + 9 = 25$ Premise: $32 + 31 = 63$ Conclusion: Whenever we add an even number and an odd number, the result is an odd number.

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. -No positive numbers are negative numbers.

The statement contains a double or multiple negation. Analyze the statement, explaining what it means. -The councilman does not oppose the anti-pollution measure.

Analyze the situation and explain how you would make a decision. -You are leasing a summer home for twelve weeks and are required to cut the grass every week. You can buy a new power mower for $340 and sell it at the end of the summer for $100. You can rent a power mower for $20 per day. The neighbor's son will charge you $10 per hour for 2 hours and provide his own equipment. Which is the best option?

Make a truth table for the given statement. The letters p, q, r, s represent propositions. -r and not s

Use braces to write the members of the set, or state that the set has no members. -The letters needed to spell the following words: tear, rate, rat, tea

Provide an appropriate response. -You mention to an acquaintance that you wish to buy a Rolex watch, but the model you're interested in is too expensive for your budget. He says that his cousin sells watches, and he'll see if he can get you a deal. Sure enough, his cousin offers you the same watch for 50% of the price. Does this sound like a deal worth taking?

Draw a Venn diagram for the given sets. In words, explain why you drew one set as a subset of the other, disjoint sets, oroverlapping sets. -beverages and soft drinks

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number. --7

Solve the problem. -The following Venn diagram describes the desserts people ordered at a party. Use it to determine how many people ordered ice cream but not cake.

Use braces to write the members of the set, or state that the set has no members. -The integers between 2 and 6 (not inclusive)

The argument given or described involves some kind of fallacy. Identify the fallacy. -Each of my brother's three dogs has fleas. Therefore, all dogs have fleas.

Decide whether the statement makes sense. Explain your reasoning. -Your argument is valid, but it isn't sound.

Solve the problem. -The following Venn diagram describes the optional features ordered by new telephone customers in a certain region. Use it to determine how many customers did not order caller ID.

Decide whether the statement makes sense. Explain your reasoning. -Your argument is sound, but it isn't valid.

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number. - $\frac { 5 } { 3 }$