26. р > (qvr) qvr

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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26 and 31
-(sv w)→g
4. ~ (sv w) →g
4.
ch
5. g
5.
6. g → (c→h)
6.
7. c h
7.
Problems 24-29 are all valid arguments. Construct a formal proof for
each argument.
24. r S
25.~r S
26. p→(qvr)
27. s(p r)
- (p→r)
qvr
28. p r
29. p r
Transcribed Image Text:-(sv w)→g 4. ~ (sv w) →g 4. ch 5. g 5. 6. g → (c→h) 6. 7. c h 7. Problems 24-29 are all valid arguments. Construct a formal proof for each argument. 24. r S 25.~r S 26. p→(qvr) 27. s(p r) - (p→r) qvr 28. p r 29. p r
In-Class Exercises and Problems for Section 3.1
149
For Problems 30-39, use the TF method to test each argument for validity.
Ifit is valid, construct a formal proof. Ifinvalid, produce a counterexample
chart.
30. p r
31. w S
-wb
33. w (pna)
~(рла)
32. (p9)→r
- wk
k
35. a(dv g)
(dv g)→-m
34. (pnq)→(rvs)
- (rvs)
- (pnq)→m
a
m
36.-s (p+q)
37. (cvd)→q
~a
a r
s(rv w)
(rv w)a
b a
cvd
pq
39. (mv n)→ w
38. r w
(noa)
Transcribed Image Text:In-Class Exercises and Problems for Section 3.1 149 For Problems 30-39, use the TF method to test each argument for validity. Ifit is valid, construct a formal proof. Ifinvalid, produce a counterexample chart. 30. p r 31. w S -wb 33. w (pna) ~(рла) 32. (p9)→r - wk k 35. a(dv g) (dv g)→-m 34. (pnq)→(rvs) - (rvs) - (pnq)→m a m 36.-s (p+q) 37. (cvd)→q ~a a r s(rv w) (rv w)a b a cvd pq 39. (mv n)→ w 38. r w (noa)
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