Exam 3: The Nature of Logic
Exam 1: The Nature of Problem Solving53 Questions
Exam 2: The Nature of Sets64 Questions
Exam 3: The Nature of Logic160 Questions
Exam 4: The Nature of Numeration Systems102 Questions
Exam 5: The Nature of Numbers139 Questions
Exam 6: The Nature of Algebra173 Questions
Exam 7: The Nature of Geometry139 Questions
Exam 8: The Nature of Measurement50 Questions
Exam 9: The Nature of Networks and Graph Theory76 Questions
Exam 10: The Nature of Growth57 Questions
Exam 11: The Nature of Sequences, Series, and Financial Management130 Questions
Exam 12: The Nature of Counting78 Questions
Exam 13: The Nature of Probability97 Questions
Exam 14: The Nature of Statistics82 Questions
Exam 15: The Nature of Graphs and Functions74 Questions
Exam 16: The Nature of Mathematical Systems97 Questions
Exam 17: The Nature of Voting and Apportionment52 Questions
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Translate the statement into symbols.
Be nice to people on your way up 'cause you'll meet 'em on your way down. (Jimmy Durante) Let
n: is being nice to people
m: you'll meet 'em on your way down
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(Essay)
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Correct Answer:
Using switches, design a circuit that would find the truth values for the statement.
Select the correct circuit.

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(Multiple Choice)
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Correct Answer:
B
I have a habit of getting up before the sun rises. My socks are all mixed up in the drawer, which contains 20 blue and 18 black socks. I reach into the drawer and grab some socks in the dark. How many socks minimum do I need to take from the drawer to be sure that I have a matched pair?
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(Multiple Choice)
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Correct Answer:
D
Use the tautology
to write statement in an equivalent form.
We will not visit New York or visit the Statue of Liberty.

(Multiple Choice)
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Write the negation of the compound statement
Please enter the sign ∩ for "and", and the sign ∪ for "or".

(Essay)
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The contract states, "The tenant shall not let or sublet the whole or any portion of the premises to anyone for any purpose whatsoever, unless written permission from the landlord is obtained." Write this statement symbolically. Let
L: The tenant lets the premises.
M: The tenant lets portion of the premises.
S: The tenant sublets the premises.
T: The tenant sublets portion of the premises.
P: Permission is obtained.
(Multiple Choice)
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The contract states, "No alterations, redecorating, tacks, or nails may be made in the building, unless written permission is obtained."
Write out these conditions symbolically. Write this statement symbolically.
Let:
a: An alteration is made to the building.
r: The building is redecorated.
t: Tacks are inserted onto the building.
n: Nails are hammered into the building.
p: Permission is obtained.
(Essay)
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Translate the sentence into if-then form.
All prime numbers greater than 2 are odd numbers.
(Multiple Choice)
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Write the inverse of the given statement.
If I break the law, then I will go to jail.
(Multiple Choice)
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Using switches, design a circuit that would find the truth values for the statement.
(a)
(b)
(c)




(Multiple Choice)
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Translate the following statement into symbols.
Marsha finished the sign, or the table and a pair of chairs.
Use s for sign, t for table, and c for chairs. Please enter parentheses to indicate the order of operations.
(Essay)
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Write the negation of the statement.
All Squares are rectangles.
(Multiple Choice)
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Write the symbolic statement that follows from the given statement. Utilities, except for water and garbage, are paid by the tenant. Let
T: You are a tenant.
W: You pay water.
g: You pay garbage.
U: You pay the other utilities.
(Multiple Choice)
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Explain symbolically what we mean by indirect reasoning.
Enter parentheses to indicate the order of operations.
Use p and q for a designation of variables.
(Essay)
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Let p : Today is Friday ; q : There is homework tonight. Translate the following statement into words.

(Multiple Choice)
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Write the negation of the compound statement
Please enter the sign ∩ for "and", and the sign ∪ for "or".

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