Exam 3: The Nature of Logic

Translate the statement into symbols. If by the mere force of numbers a majority should deprive a minority of any clearly written constitutional right, it might, in a moral point of view, justify revolution. (Abraham Lincoln) Let H: Heartily laugh W: Wholly laugh B: A bad person N: Being nice to people M: You'll meet 'em on your way down F : The mere force of numbers a majority should deprive a minority of any clearly written constitutional right R: Revolution

(Multiple Choice)

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Question 101

Find a so that the statement is true.

(Multiple Choice)

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Question 102

Find a so that the statement is true. a = __________

(Short Answer)

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Question 103

Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning. All mathematicians are clever men. All clever men are rich. Therefore, all mathematicians are rich.

(Multiple Choice)

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Question 104

Translate the following statement into symbols. Dinner includes soup and salad, or the vegetable of the day. Use p for soup, d for salad, and v for vegetable.

(Multiple Choice)

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Question 105

Find a so that the statement is true. a = __________

(Short Answer)

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Question 106

Explain when the light on a circuit is on. Circuit is (complete, incomplete) when light is (on, off).

(Short Answer)

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Question 107

Find a so that the statement is true.

(Multiple Choice)

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Question 108

Determine whether the given compound statement is a tautology.

(Multiple Choice)

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Question 109

Using AND-gates, OR-gates, and NOT-gates, design a circuit that would find the truth values for the sentence. (a) (b) (c)

(Multiple Choice)

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Question 110

What does the circuit symbol in the figure mean?

(Multiple Choice)

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Question 111

Form a valid conclusion, using all the statements for each argument. Give reasons. If 5 divides a positive integer N and if N is greater than 5, then N is not a prime number. N is a prime number. 5 (divides, does not divide) a positive integer N or (N is a composite number, N is not greater than 5). __(direct, indirect)

(Essay)

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Question 112

Using switches, design a circuit that would find the truth values for the statement. (a) (b) (c)

(Multiple Choice)

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Question 113

What does the circuit symbol in the figure mean?

(Multiple Choice)

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Question 114

Translate the statement into symbols. To obtain the loan, I must have an income of $85,000 per year. Let P: All provisions of the sale are clearly understood H: I will buy a new house K: I must have an income of $85,000 per year L: Obtaining the loan S: Smoking D: Drinking

(Multiple Choice)

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Question 115

Write the symbolic statement that follows from the given statement. To qualify for a loan, the applicant must have a gross income of at least $35,000 if single or combined income of $50,000 if married. Let q: You qualify for a loan. m: You are married. i: You have an income of at least $35,000. b: Your spouse has an income of at least $35,000.

(Short Answer)

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Question 116

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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Question 117

Assume p is F, q is T, and r is F. Find the truth value for the compound statement:

(Multiple Choice)

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Question 118

Find a so that the statement is true.

(Multiple Choice)

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Question 119

Find a so that the statement is true. a = __________

(Short Answer)

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Question 120

Showing 101 - 120 of 160

Find a so that the statement is true.

Find a so that the statement is true. a = __________

Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning. All mathematicians are clever men. All clever men are rich. Therefore, all mathematicians are rich.

Translate the following statement into symbols. Dinner includes soup and salad, or the vegetable of the day. Use p for soup, d for salad, and v for vegetable.

Find a so that the statement is true. a = __________

Explain when the light on a circuit is on. Circuit is (complete, incomplete) when light is (on, off).

Find a so that the statement is true.

Determine whether the given compound statement is a tautology.

Using AND-gates, OR-gates, and NOT-gates, design a circuit that would find the truth values for the sentence. (a) (b) (c)

What does the circuit symbol in the figure mean?

Using switches, design a circuit that would find the truth values for the statement. (a) (b) (c)

What does the circuit symbol in the figure mean?

Translate the statement into symbols. To obtain the loan, I must have an income of $85,000 per year. Let P: All provisions of the sale are clearly understood H: I will buy a new house K: I must have an income of $85,000 per year L: Obtaining the loan S: Smoking D: Drinking

Use the tautology to write statement in an equivalent form. We will not visit New York or visit the Statue of Liberty.

Assume p is F, q is T, and r is F. Find the truth value for the compound statement:

Find a so that the statement is true.

Find a so that the statement is true. a = __________

The Nature of Problem Solving

The Nature of Sets

The Nature of Numeration Systems

The Nature of Numbers

The Nature of Algebra

The Nature of Geometry

The Nature of Measurement

The Nature of Networks and Graph Theory

The Nature of Growth

The Nature of Sequences, Series, and Financial Management

The Nature of Counting

The Nature of Probability

The Nature of Statistics

The Nature of Graphs and Functions

The Nature of Mathematical Systems

The Nature of Voting and Apportionment

Filters

Exam 3: The Nature of Logic

Find a so that the statement is true.

Find a so that the statement is true. a = __________

Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning. ​ All mathematicians are clever men. All clever men are rich. Therefore, all mathematicians are rich. ​

Translate the following statement into symbols. ​ Dinner includes soup and salad, or the vegetable of the day. ​ Use p for soup, d for salad, and v for vegetable. ​

Find a so that the statement is true. a = __________

Explain when the light on a circuit is on. ​ Circuit is __________ (complete, incomplete) when light is __________ (on, off).

Find a so that the statement is true.

Determine whether the given compound statement is a tautology. ​ ​ ​

Using AND-gates, OR-gates, and NOT-gates, design a circuit that would find the truth values for the sentence. ​ ​ ​ (a) ​ (b) ​ (c) ​

What does the circuit symbol in the figure mean? ​ ​

Using switches, design a circuit that would find the truth values for the statement. ​ ​ (a) (b) (c) ​

What does the circuit symbol in the figure mean? ​ ​

Translate the statement into symbols. ​ To obtain the loan, I must have an income of $85,000 per year. Let ​ P: All provisions of the sale are clearly understood H: I will buy a new house K: I must have an income of $85,000 per year L: Obtaining the loan S: Smoking D: Drinking ​

Use the tautology to write statement in an equivalent form. ​ We will not visit New York or visit the Statue of Liberty. ​

Assume p is F, q is T, and r is F. Find the truth value for the compound statement: ​

Find a so that the statement is true.

Find a so that the statement is true. a = __________

The Nature of Problem Solving

The Nature of Sets

The Nature of Numeration Systems

The Nature of Numbers

The Nature of Algebra

The Nature of Geometry

The Nature of Measurement

The Nature of Networks and Graph Theory

The Nature of Growth

The Nature of Sequences, Series, and Financial Management

The Nature of Counting

The Nature of Probability

The Nature of Statistics

The Nature of Graphs and Functions

The Nature of Mathematical Systems

The Nature of Voting and Apportionment

Filters

Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning. All mathematicians are clever men. All clever men are rich. Therefore, all mathematicians are rich.

Translate the following statement into symbols. Dinner includes soup and salad, or the vegetable of the day. Use p for soup, d for salad, and v for vegetable.

Explain when the light on a circuit is on. Circuit is (complete, incomplete) when light is (on, off).

Determine whether the given compound statement is a tautology.

Using AND-gates, OR-gates, and NOT-gates, design a circuit that would find the truth values for the sentence. (a) (b) (c)

What does the circuit symbol in the figure mean?

Using switches, design a circuit that would find the truth values for the statement. (a) (b) (c)

What does the circuit symbol in the figure mean?

Translate the statement into symbols. To obtain the loan, I must have an income of $85,000 per year. Let P: All provisions of the sale are clearly understood H: I will buy a new house K: I must have an income of $85,000 per year L: Obtaining the loan S: Smoking D: Drinking

Use the tautology to write statement in an equivalent form. We will not visit New York or visit the Statue of Liberty.

Assume p is F, q is T, and r is F. Find the truth value for the compound statement: