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Write the following symbolically and give the converse, contrapositive. a. If 3 < 5 ,then 3(4) < 5 (4) b. 14| > 2 if -2 < 1<2

Write the following symbolically and give the converse, contrapositive. a. If 3 < 5 ,then 3(4) < 5 (4) b. 14| > 2 if -2 < 1<2

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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1. Write the following symbolically and give the converse, contrapositive. a. If 3 < 5 ,then 3(4) < 5 (4) b. [4| > 2 if -2 < 1< 2 2. Prove the following using truth tables. a. ¬(pn q) =-¬pv¬q b. (p→ 9) = ¬pv q
Transcribed Image Text:1. Write the following symbolically and give the converse, contrapositive. a. If 3 < 5 ,then 3(4) < 5 (4) b. [4| > 2 if -2 < 1< 2 2. Prove the following using truth tables. a. ¬(pn q) =-¬pv¬q b. (p→ 9) = ¬pv q
1. Identify if the following are propositions. Then, write their representation. 1. I will sing and you will dance in the play. 2. Neither there is hurricane nor there is rain. 3. Any integer greater than zero is either even or odd. 4. I will go in your office or you go to my place. 5. Either 6. If you heard the "flying pig's concert", then either you have sore eardrums or you'll be dead by now. you win or loose if you join in the contest. 7. l'Il be the most beautiful woman in the world if you say you love me. 8. If today is Monday and tomorrow is Tuesday, then yesterday is not Saturday. 2. Construct a truth table for the following. 1. -p →-(g vr) 2. (pv q) ^ (pv ) ^ (p v¬q) ^ (¬pv¬q) 3.–(pnq) →¬pv¬q 4. –(pag) v (g v¬r)
Transcribed Image Text:1. Identify if the following are propositions. Then, write their representation. 1. I will sing and you will dance in the play. 2. Neither there is hurricane nor there is rain. 3. Any integer greater than zero is either even or odd. 4. I will go in your office or you go to my place. 5. Either 6. If you heard the "flying pig's concert", then either you have sore eardrums or you'll be dead by now. you win or loose if you join in the contest. 7. l'Il be the most beautiful woman in the world if you say you love me. 8. If today is Monday and tomorrow is Tuesday, then yesterday is not Saturday. 2. Construct a truth table for the following. 1. -p →-(g vr) 2. (pv q) ^ (pv ) ^ (p v¬q) ^ (¬pv¬q) 3.–(pnq) →¬pv¬q 4. –(pag) v (g v¬r)
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