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12. Which of the follawing are equivalent statements?? AqA-r and -qA-r

12. Which of the follawing are equivalent statements?? AqA-r and -qA-r

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 6CT: Name the type of reasoning used in the following scenario. While shopping for a new television,...
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Hello. I need answers for 12,13 and 14. Mathematics in the modern world ?
O 99% | 4:06 AM 11. What are the truth values of (p A-q)A(-r v q)v-(rap) and (rA-s) A (rvs) respectively? e and a are false, and r and a are trun. 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-q A-r B. pA-r and p v-r C-qArand-qA-r D.-(qAr) and-qA-r 13. If pA(-pAq) is a self-contradiction statement, what is the final truth value of -Ip A (-pAq)? C. TFTF D. FTFT A. TTTT B. FFFF 14. If the equivalent form of p-q is-p v q, what is the equivalent form of "If 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 pA-q is the negation of a conditional statement, what is the negation of "If you are having an affair, 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:O 99% | 4:06 AM 11. What are the truth values of (p A-q)A(-r v q)v-(rap) and (rA-s) A (rvs) respectively? e and a are false, and r and a are trun. 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-q A-r B. pA-r and p v-r C-qArand-qA-r D.-(qAr) and-qA-r 13. If pA(-pAq) is a self-contradiction statement, what is the final truth value of -Ip A (-pAq)? C. TFTF D. FTFT A. TTTT B. FFFF 14. If the equivalent form of p-q is-p v q, what is the equivalent form of "If 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 pA-q is the negation of a conditional statement, what is the negation of "If you are having an affair, 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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