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11. What are the truth values of (p A-q)a((-r v q)v-(rAp)) and (rA-s) A (r vs) respectively? p and a are false, and rand a are true. A. False and true. B. True and faise. C. They are both true. D. They are both false. 12. Which of the follawing are equivalent statements?? AQA-rand -qA-r B. pA-rand p v-r C-qArand-qA-r D.-(qAr) and-qA-r 13. If pA(-pAq) is a nell-contradiction statemont, what is the final truth value of-Ip A (-PAq? A. TTTT B. FFFF C. TFTF D. FTFT 14. If the equivalent form of p-q is-p v q. what is the equivalent form of "If i get my paycheck, I will treat my friends ? A. I get my paycheck and I will treat my triends. B. I did not get my paycheck or I will treat my friends. C.I dd not get my paycheck or I will not treat my friends. D.I did not get my paycheck and I will not treat my friends. 15. If p A-q is the negation of a conditional statement, what is the negation of "If you are having an atffair, then let's end our marriage."? A. If you are having an affair and let's not end our marriage. B. You are having an affair so let's end our marriage. C. You are having an affair and let's not end our marriage.

11. What are the truth values of (p A-q)a((-r v q)v-(rAp)) and (rA-s) A (r vs) respectively? p and a are false, and rand a are true. A. False and true. B. True and faise. C. They are both true. D. They are both false. 12. Which of the follawing are equivalent statements?? AQA-rand -qA-r B. pA-rand p v-r C-qArand-qA-r D.-(qAr) and-qA-r 13. If pA(-pAq) is a nell-contradiction statemont, what is the final truth value of-Ip A (-PAq? A. TTTT B. FFFF C. TFTF D. FTFT 14. If the equivalent form of p-q is-p v q. what is the equivalent form of "If i get my paycheck, I will treat my friends ? A. I get my paycheck and I will treat my triends. B. I did not get my paycheck or I will treat my friends. C.I dd not get my paycheck or I will not treat my friends. D.I did not get my paycheck and I will not treat my friends. 15. If p A-q is the negation of a conditional statement, what is the negation of "If you are having an atffair, then let's end our marriage."? A. If you are having an affair and let's not end our marriage. B. You are having an affair so let's end our marriage. C. You are having an affair and let's not end our marriage.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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mathematics in the modern world. Logic
11. What are the truth values of (p A-q)a((-r v q)v-(rAp)) and (rA-s) A (r vs) respectively? tp and a ate falsa, and rand s are true. A. False and true. B. True and faise. C. They are both true. D. They are both false. 12 Which of the follawing are equivalent statements?? AqA-rand-A-r B. pA-r and p v-r C. -qArand -qA-r D.-(qar) and-qA-r 13. If pA(-pAq) is a solf-contradiction statement, what is the final truth value of -Ip A (-pAq)? A. TTTT B. FFFF C. TFTF D. FTFT 14. If the equivalent form of p-q is-p v q. what is the equivalent form of "If i get my paycheck, I will treat my friends ? A. I get my paycheck and I will treat my triends. B. I did not get my paycheck or I will treat my friends, C.I did not get my paycheck or I will not treat my friends. D. I did not get my paycheck and I will not treat my friends. 15. If pA-q is the negation of a conditional statement, what is the negation of "If you are having an atffair, then let's end our marriage."? A. If you are having an affair and let's not end our marriage. B. You are having an affair so let's end our marriage. C. You are having an affair and let's not end our marriage.
Transcribed Image Text:11. What are the truth values of (p A-q)a((-r v q)v-(rAp)) and (rA-s) A (r vs) respectively? tp and a ate falsa, and rand s are true. A. False and true. B. True and faise. C. They are both true. D. They are both false. 12 Which of the follawing are equivalent statements?? AqA-rand-A-r B. pA-r and p v-r C. -qArand -qA-r D.-(qar) and-qA-r 13. If pA(-pAq) is a solf-contradiction statement, what is the final truth value of -Ip A (-pAq)? A. TTTT B. FFFF C. TFTF D. FTFT 14. If the equivalent form of p-q is-p v q. what is the equivalent form of "If i get my paycheck, I will treat my friends ? A. I get my paycheck and I will treat my triends. B. I did not get my paycheck or I will treat my friends, C.I did not get my paycheck or I will not treat my friends. D. I did not get my paycheck and I will not treat my friends. 15. If pA-q is the negation of a conditional statement, what is the negation of "If you are having an atffair, then let's end our marriage."? A. If you are having an affair and let's not end our marriage. B. You are having an affair so let's end our marriage. C. You are having an affair and let's not end our marriage.
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