Exam 1: Thinking Critically

Draw a Venn diagram to represent the given information. -In a freshman class of 50 students, 30 students are taking math, 24 students are taking history, and 15 students are taking both math and history.

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number. -0

Write the negation of the proposition. -Emily has brown eyes.

Evaluate the validity of the chain of conditionals. -Premise: If the moon is made of cheese, then what goes up must come down. Premise: If what goes up must come down, then most Americans like apple pie. Conclusion: If the moon is made of cheese, then most Americans like apple pie.

Describe how the sentence is ambiguous. -There was a 15% decrease in donations to the homeless shelter between 1996 and 2000, a year in which $50,000 was collected.

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 flight attendants are men.

Determine whether the statement is a proposition. - $6 + 10 = 17$

Identify the type of argument and determine its validity with a Venn diagram. -Premise: If you break curfew, then you will be punished. Premise: Thelma was punished. Conclusion: Thelma broke curfew.

Rephrase the statement as a conditional proposition with the form "if p, then q." -Attending practice is necessary for staying on the team.

The statement connects two individual propositions with the word and. State whether the entire statement is true or false,and explain why. -Springfield is the capital of Illinois and Chicago is the capital of Illinois.

Decide whether the statement makes sense. Explain your reasoning. -If "unconscious" means "not located in the United States," then Florida is not unconscious.

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. -athletes and high school students

Determine whether the statement is a proposition. -Not all flowers are roses.

A set of propositions is listed. Draw a Venn diagram that represents all the information in the propositions and use it(and no other assumptions)to answer the question. Explain your reasoning. -No dogs are cats. No gerbils are cats. All dogs have fleas. Some cats are thirsty. No thirsty creatures have fleas. Question: Could a gerbil be a dog?

Decide whether the statement makes sense. Explain your reasoning. -Wayne's bank charges a $1 service charge for every transaction. To save money, he withdraws $100 cash every other week instead of withdrawing $50 every week.

Rephrase the statement as a conditional proposition with the form "if p, then q." -Showing up at the party is sufficient to get a door prize.

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. -fish and birds

Identify the type of argument and determine its validity with a Venn diagram. -Premise: If you cut me, I bleed. Premise: I do not bleed. Conclusion: You did not cut me.

The statement connects two individual propositions with the word and. State whether the entire statement is true or false,and explain why. -There are seven days in a week and there are 24 hours in a day.

Provide an appropriate response. -Consider the following clause in a rental lease: "Lessee may terminate this lease at the end of the initial term by providing Lessor with at least sixty (60)days prior written notice, to commence upon the first day of the month following the month in which said notice is delivered or immediately if delivered on the first day of any month." If the initial term of the lease ends on March 31 and the Lessee provides the Lessor written notice on April 1, as of what date can the lease be terminated? What if he provides notice on April 2?