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We remember that a knight is a person who always tells the truth, and a knave is a person who always lies. When we say that two people are of the same type, it means that they are both knights or both knaves. When they are said to be of different types, it means that one of them is a knight and the other is a knave. You meet two people, A and B. A said: "If B is a knave, then I am a knight." B says, "A and I are different types" What are the identities of A and B? A. A is a knight and B is a knight. B. A is a knight and B is a knave. C. A is knave and B is knight. D. A is knave and B is knave. E. It is impossible to determine the identity of A and B. F. none of the above Let A= {1,3,5}, B = {2,4,6,8), C= {2,3,4,5) Which of the following statements is false? A. AnB = 0 B. |ANC| = |BnC| C. |P(C) = 16 D. C-BCA E. BCAUC E|AX C| = 12

We remember that a knight is a person who always tells the truth, and a knave is a person who always lies. When we say that two people are of the same type, it means that they are both knights or both knaves. When they are said to be of different types, it means that one of them is a knight and the other is a knave. You meet two people, A and B. A said: "If B is a knave, then I am a knight." B says, "A and I are different types" What are the identities of A and B? A. A is a knight and B is a knight. B. A is a knight and B is a knave. C. A is knave and B is knight. D. A is knave and B is knave. E. It is impossible to determine the identity of A and B. F. none of the above Let A= {1,3,5}, B = {2,4,6,8), C= {2,3,4,5) Which of the following statements is false? A. AnB = 0 B. |ANC| = |BnC| C. |P(C) = 16 D. C-BCA E. BCAUC E|AX C| = 12

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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We remember that a knight is a person who always tells the truth, and a knave is a person who always lies. When we say that two people are of the same type, it means that they are both knights or both knaves. When they are said to be of different types, it means that one of them is a knight and the other is a knave. You meet two people, A and B. A said: "If Bis a knave, then I am a knight." B says, "A and I are different types" What are the identities of A and B? A. A is a knight and B is a knight. B. A is a knight and B is a knave. C. A is knave and B is knight. D. A is knave and B is knave. E. It is impossible to determine the identity of A and B. F. none of the above Let A = {1,3,5}, B = {2,4,6,8), C=(2,3,4,5) Which of the following statements is false? A. AnB = 0 B. ANC| = |Bnc| C. |P(C) = 16 D. C-BCA E. BCAUC F. |AX C| = 12
Transcribed Image Text:We remember that a knight is a person who always tells the truth, and a knave is a person who always lies. When we say that two people are of the same type, it means that they are both knights or both knaves. When they are said to be of different types, it means that one of them is a knight and the other is a knave. You meet two people, A and B. A said: "If Bis a knave, then I am a knight." B says, "A and I are different types" What are the identities of A and B? A. A is a knight and B is a knight. B. A is a knight and B is a knave. C. A is knave and B is knight. D. A is knave and B is knave. E. It is impossible to determine the identity of A and B. F. none of the above Let A = {1,3,5}, B = {2,4,6,8), C=(2,3,4,5) Which of the following statements is false? A. AnB = 0 B. ANC| = |Bnc| C. |P(C) = 16 D. C-BCA E. BCAUC F. |AX C| = 12
Letz and y be propositional variables, and let P₁: zvy P₂:x^-y P3: y → z C:y Answer the following three questions, in order: Is the argument (P^ P₂^ Ps) → C valid? • Is the set {P₁, P₂, P3} consistent? • Are P₂ and -P3 logically equivalent? A. Yes, no, yes. B. No, yes, yes. C. No, yes, no. D. Yes, no, no. E. Yes, yes, yes. F. No, no, yes. G. none of the above. Recall that a binary string is a sequence of 0's and 1's. How many binary strings of length 8 have starting with "0000"? A. 8! B. 28 C. D. 5! E. 2¹ E8-7-6-5-4
Transcribed Image Text:Letz and y be propositional variables, and let P₁: zvy P₂:x^-y P3: y → z C:y Answer the following three questions, in order: Is the argument (P^ P₂^ Ps) → C valid? • Is the set {P₁, P₂, P3} consistent? • Are P₂ and -P3 logically equivalent? A. Yes, no, yes. B. No, yes, yes. C. No, yes, no. D. Yes, no, no. E. Yes, yes, yes. F. No, no, yes. G. none of the above. Recall that a binary string is a sequence of 0's and 1's. How many binary strings of length 8 have starting with "0000"? A. 8! B. 28 C. D. 5! E. 2¹ E8-7-6-5-4
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