Exam 1: Thinking Critically

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 ordered call waiting.

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. -All horses are animals.

Use braces to write the members of the set, or state that the set has no members. -The integers from 6 to 10 (inclusive)

Draw a Venn diagram to represent the given information. -There are 12 girls and 15 boys in a kindergarten class. 8 of the girls and 10 of the boys are right handed.

Two statements are listed in which p, q, and r represent propositions. Are the two statements logically equivalent? -not (p and q); (not p)and (not q)

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. -Some dogs are adorable.

The statement connects two individual propositions with the word or. State whether the entire statement is true or false,and explain why. -Cats reads books or dogs bark.

Decide whether the statement makes sense. Explain your reasoning. -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.

State whether or is being used in the exclusive or inclusive sense in the given statement. -The prize is a new car or $10,000 cash.

A reason for a particular political position is given. There may be other issues that are left unstated. Identify at least oneunstated issue that could be the "real issue" of concern. -The dictator of a foreign country has enacted a ban on all firearms, citing prevention of accidental deaths among children as the rationale.

Draw a Venn diagram to represent the given information. -In a survey of 80 pet owners, 50 had a dog, 33 had a cat, and 12 had both a cat and a dog.

A reason for a particular political position is given. There may be other issues that are left unstated. Identify at least oneunstated issue that could be the "real issue" of concern. -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.

A seemingly simple argument is given. Identify at least two hidden assumptions. -The campfire should be extinguished before we go fishing because the park ranger can cite us for illegal activities.

Decide whether the statement makes sense. Explain your reasoning. -I am very upset because the results of my biopsy were not positive for cancer.

Use your knowledge of the listed sets to draw a A Venn diagram illustrating the relationships among them. -clothes, shirts, pants, shoes, fancy duds

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. -Some singers are not children.

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?

Determine whether the statement is true or false. -If Florida is in the United States, then all squares are rectangles.

Solve the problem. -The following Venn diagram describes the types of cookies in a bakery. Use it to determine how many chocolate chip cookies do not also have walnuts.

Rephrase the statement as a conditional proposition with the form "if p, then q." -Having a computer is necessary for taking this class.