Exam 1: Thinking Critically

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.

Use your knowledge of the listed sets to draw a A Venn diagram illustrating the relationships among them. -real numbers, integers, positive numbers, negative numbers, irrational numbers

The statement connects two individual propositions with the word or. State whether the entire statement is true or false,and explain why. -There are 25 letters in the English alphabet or the letter c is a vowel.

Determine whether the statement is a proposition. -Do you like this color?

Identify the type of argument and determine its validity with a Venn diagram. -Premise: If you try hard, then you will succeed. Premise: You did not try hard. Conclusion: You will not succeed.

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. -astronauts and fathers

Write the negation of the proposition. -Some athletes are musicians.

The statement connects two individual propositions with the word and. State whether the entire statement is true or false,and explain why. - $4 + 3 = 7 \text { and } 9 \times 2 = 27$

A seemingly simple argument is given. Identify at least two hidden assumptions. -We should not vote for the incumbent because he has already been in office for three consecutive terms.

Identify the type of argument and determine its validity with a Venn diagram. -Premise: If you are hot, then you will sweat. Premise: James is hot. Conclusion: James will sweat.

Analyze the situation and explain how you would make a decision. -Your current cell phone company charges $30 per month for unlimited minutes. Another company charges $20 per month for the first 500 minutes plus 5¢ a minute for any additional minutes. Should you keep your current service or switch to the other company?

Draw a Venn diagram to represent the given information. -Patients in a (hypothetical)hospital on a single day were taking antibiotics (A), blood pressure medication (BP), and pain medication (P)in the following numbers: A only 11 A and BP only 14 BP only 7 A and P only 26 P only 23 BP and P only 19 None 5 All three 20 Draw a three-circle Venn diagram that summarizes the results in the table.

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. -even numbers and odd numbers

Determine the truth of the premises, discuss the strength of the argument, and assess the truth of the conclusion. -Premise: Monday is one of the days of the week. Premise: Thursday is one of the days of the week. Premise: Saturday is one of the days of the week. Conclusion: All the days of the week have names that end in "day."

Solve the problem. -The following Venn diagram describes the desserts people ordered at a party. Use it to determine how many people ordered cake.

The statement contains a double or multiple negation. Analyze the statement, explaining what it means. -The House of Representatives voted to override the veto of the communications bill.

Choose the first set in the list natural numbers, whole numbers, integers, rational numbers, and real numbers thatdescribes the following number. -5.7

Analyze the situation and explain how you would make a decision. -You need a rental car for four days. The daily rate is $20 per day plus 20¢ per mile. The weekly rate is $100, and mileage is included. Which is the better option?

Provide an appropriate response. -IRS guidelines state that a married person under 65 years of age who can be claimed as a dependent on another person's tax return must file a return if (i)unearned income was over $750; or (ii)earned income was over $3925; or (iii)total of earned and unearned income was at least $5 and your spouse files a separate return and itemizes deductions; or (iv)total of earned and unearned income was more than the greater of a)$750; or b)earned income (up to $3675)plus $250. Julia is 45 years old and can be claimed as a dependent by her father. She had earned income of $3800 and unearned income of $200. Julia's husband Bret files a separate return but does not itemize deductions. Must Julia file a return? Explain.

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