Exam 8: Sets and Logic
Exam 1: Arithmetic, Calculators, and Problem Solving306 Questions
Exam 2: Sets of Numbers238 Questions
Exam 3: Introduction to Algebra286 Questions
Exam 4: Percents and Problem Solving166 Questions
Exam 5: Introduction to Geometry157 Questions
Exam 6: Measurement and Problem Solving236 Questions
Exam 7: Applications of Percent244 Questions
Exam 8: Sets and Logic270 Questions
Exam 9: Probability163 Questions
Exam 10: Statistics41 Questions
Exam 11: Graphs350 Questions
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There have been presidents of the state. In order to help you answer the question below, draw a Venn diagram showing the following facts about where each served before assuming the presidency. were vice-president. were VP and served in the Senate. served in the Senate. 2 were VP and held a cabinet post. held a cabinet post. served in the Senate and held a cabinet post. 1 was VP, in the Senate, and held a cabinet post. How many presidents served only as vice-president before becoming president?
(Multiple Choice)
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Which of the given Venn diagrams highlights the region corresponding to the set ?
(Multiple Choice)
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Make a conclusion and tell whether it illustrates inductive or deductive reasoning. The product of an odd number of negative numbers is negative. Therefore,
(Multiple Choice)
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Let Which sets are equal? Which sets are equivalent? What is the cardinality of each set?
(Short Answer)
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A followup survey of 900 voters in the last election asked the following questions:
Check the box if the answer is "yes".
, I voted for the winning presidential candidate.
, I voted for the winning senatorial candidate
If 130 respondents checked the first box, what percent of the respondents voted for the winning presidential candidate?
__________% voted for the winning presidential candidate
If 385 respondents checked the second box, what percent of the respondents voted for the winning senatorial candidate?
__________% voted for the winning senatorial candidate
If 85 checked both boxes, what percent of the respondents voted for both the winning presidential and senatorial candidates?
__________% voted for both the winning presidential and senatorial candidates
What percent of the respondents voted for the winning presidential or the winning senatorial candidate?
__________% voted for the winning presidential or the winning senatorial candidate
Round your answers to the nearest tenth of a percent.
(Short Answer)
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What is wrong, if anything, with the statement? Answer True or False and explain your reasoning.
A set is defined to be a collection of objects.
(True/False)
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Write the words in symbols:
For the sets D and E,
D is a subset of E.
(Short Answer)
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Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6,8\} B=\{7,9\} C=\{2,7,8,9,10\} List all the members of the set.
(Short Answer)
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Write the words in symbols:
The empty set is a proper subset of the set E.
(Short Answer)
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Let U=\{1,2,3,4,5,6,7,8,9,10\} A=\{2,4,6\} B=\{3,5,7\} List all the members of the set.
(Short Answer)
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Use Venn diagrams to check the validity of the argument. Some women are tall.
No men are strong.
Therefore, some tall people are not strong.
(Multiple Choice)
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Does the B.C. cartoon illustrate inductive or deductive reasoning? 

(Multiple Choice)
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Tell whether you believe that the conjecture is true or false.
The area of a square (number of units) is always larger than the perimeter of a square (number of units).
(True/False)
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Choose the negation of the statement. Some workers work on Sunday.
(Multiple Choice)
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