1 The Art Of Problem Solving 2 The Basic Concepts Of Set Theory 3 Introduction To Logic 4 Numeration Systems 5 Number Theory 6 The Real Numbers And Their Representations 7 The Basic Concepts Of Algebra 8 Graphs, Functions, And Systems Of Equations And Inequalities 9 Geometry 10 Counting Methods 11 Probability 12 Statistics 13 Personal Financial Management 14 Graph Theory 15 Voting And Apportionment expand_more
3.1 Statements And Quantifiers 3.2 Truth Tables And Equivalent Statements 3.3 The Conditional And Circuits 3.4 The Conditional And Related Statements 3.5 Analyzing Arguments With Euler Diagrams 3.6 Analyzing Arguments With Truth Tables Chapter Questions expand_more
Problem 1E: Rewrite each statement using the if . . . then connective. Rearrange the wording or add words as... Problem 2E: Rewrite each statement using the if then connective. Rearrange the wording or add words as... Problem 3E: Rewrite each statement using the if . . . then connective. Rearrange the wording or add words as... Problem 4E: No perfect square integers have units digit 2, 3, 7, or 8. Rewrite each statement using the if then... Problem 5E Problem 6E: Rewrite each statement using the if then connective. Rearrange the wording or add words as... Problem 7E Problem 8E: Rewrite each statement using the if then connective. Rearrange the wording or add words as... Problem 9E Problem 10E: Decide whether each statement is true or false.
10. If the consequent of a conditional statement is... Problem 11E Problem 12E Problem 13E: Decide whether each statement is true or false.
13. The negation of “If pigs fly, I’ll believe if is... Problem 14E Problem 15E Problem 16E Problem 17E: |17. Explain why the statement “If , then ” is true.
Problem 18E Problem 19E Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E: Let s represent “She sings for a living,” let p represent “he fixes cars,” and let m represent “they... Problem 26E: Let s represent She sings for a living, let p represent he fixes cars, and let m represent they... Problem 27E Problem 28E: Let s represent She sings for a living, let p represent he fixes cars, and let m represent they... Problem 29E Problem 30E: Let s represent “She sings for a living,” let p represent “he fixes cars,” and let m represent “they... Problem 31E Problem 32E: Let b represent I take my ball, lets represent it is sunny, and let p represent the park is open ... Problem 33E Problem 34E: Let b represent I take my ball, lets represent it is sunny, and let p represent the park is open.... Problem 35E Problem 36E: Let b represent I take my ball, lets represent it is sunny, and let p represent the park is open ... Problem 37E Problem 38E: Find the truth value of each statement. Assume that p and rare false, and q is true. qp Problem 39E Problem 40E: Find the truth value of each statement. Assume that p and rare false, and q is true.
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Problem 41E Problem 42E: Find the truth value of each statement. Assume that p and rare false, and q is true. (rp)p Problem 43E Problem 44E: Find the truth value of each statement. Assume that p and rare false, and q is true.
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Problem 45E Problem 46E: Find the truth value of each statement. Assume that p and rare false, and q is true.
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Problem 47E Problem 48E Problem 49E Problem 50E: Construct a truth table for each statement. Identify any tautologies. (qp)q Problem 51E Problem 52E: Construct a truth table for each statement. Identify any tautologies. (q)(pq) Problem 53E Problem 54E: Construct a truth table for each statement. Identify any tautologies. (pq)(pq) Problem 55E: Construct a truth table /breach statement. Identify any tautologies.
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Problem 56E: Construct a truth table /breach statement. Identify any tautologies.
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Problem 57E Problem 58E: Construct a truth table /breach statement. Identify any tautologies.
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Problem 59E: 59. What is the minimum number of Fs that must appear in the final column of a truth table for us to... Problem 60E Problem 61E Problem 62E: Write the negation of each statement. Remember that the negation of pq is pq. If Muley Jones hits... Problem 63E Problem 64E: Write the negation of each statement. Remember that the negation of pq is pq. If you dont say I do,"... Problem 65E Problem 66E: Write the negation of each statement. Remember that the negation of pq is pq. If I had a hammer, Id... Problem 67E: Write each statement as an equivalent statement that does not use the if ... then connective.... Problem 68E Problem 69E Problem 70E Problem 71E Problem 72E Problem 73E Problem 74E Problem 75E Problem 76E Problem 77E Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E: Write a logical statement representing each of the following circuits. Simplify each circuit when... Problem 85E: Write a logical statement representing each of the following circuits. Simplify each circuit when... Problem 86E Problem 87E Problem 88E Problem 89E Problem 90E Problem 91E: Draw circuits representing the following statements as they are given. Simplify if possible.... Problem 92E Problem 93E Problem 94E: Draw circuits representing the following statements as they are given. Simplify if possible. p(pq) Problem 95E Problem 96E Problem 97E format_list_bulleted