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Translate each of the following sentences into symbolic logic. (1. If f is a polynomial and its degree is greater than 2, then f' is not constant. itiue hut the on ALig not positive

Translate each of the following sentences into symbolic logic. (1. If f is a polynomial and its degree is greater than 2, then f' is not constant. itiue hut the on ALig not positive

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Negating Statements 59 Exercises for Section 2.9 Translate each of the following sentences into symbolic logic. (1, If f is a polynomial and its degree is greater than 2, then f' is not constant. 2. The number x is positive but the number y is not positive. 3. If x is prime, then x is not a rational number. 4. For every prime number p there is another prime number For every positive number ɛ, there is a positive number & for which |x– a| < 8 implies |f(x)– f (a)| < ɛ. 6. For every positive number e there is a positive number M for which |f(x)-b| < ɛ, whenever x > M. with q > p. slumot oidsnbeop or 7. There exists a real number a for which a +x = x for every real number x. 8. I don't eat anything that has a face. 9. If x is a rational number and x# 0, then tan(x) is not a rational number. (10. If sin(x) <0, then it is not the case that 0<x<n. 11. There is a Providence that protects idiots, drunkards, children and the United Se-tes of America. (Otto von Bismarck) (hbo at eAbo can fool some of the people all of the time, and you can fool all of the people e of the time, but you can't fool all of the people all of the time. (Abraham coln) erything is funny as long as it is happening to somebody else. (Will Rogers) Negating Statements en a statement R, the statement R is called the negation of R. If R is omplex statement, then it is often the case that its negation R can be nful form The process of finding this form 2)
Transcribed Image Text:Negating Statements 59 Exercises for Section 2.9 Translate each of the following sentences into symbolic logic. (1, If f is a polynomial and its degree is greater than 2, then f' is not constant. 2. The number x is positive but the number y is not positive. 3. If x is prime, then x is not a rational number. 4. For every prime number p there is another prime number For every positive number ɛ, there is a positive number & for which |x– a| < 8 implies |f(x)– f (a)| < ɛ. 6. For every positive number e there is a positive number M for which |f(x)-b| < ɛ, whenever x > M. with q > p. slumot oidsnbeop or 7. There exists a real number a for which a +x = x for every real number x. 8. I don't eat anything that has a face. 9. If x is a rational number and x# 0, then tan(x) is not a rational number. (10. If sin(x) <0, then it is not the case that 0<x<n. 11. There is a Providence that protects idiots, drunkards, children and the United Se-tes of America. (Otto von Bismarck) (hbo at eAbo can fool some of the people all of the time, and you can fool all of the people e of the time, but you can't fool all of the people all of the time. (Abraham coln) erything is funny as long as it is happening to somebody else. (Will Rogers) Negating Statements en a statement R, the statement R is called the negation of R. If R is omplex statement, then it is often the case that its negation R can be nful form The process of finding this form 2)
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