Determine whether each of the following is a tautology, a contradiction or neither: 19. р — (рvq) 20. (p → -q) V (-r → p) 21. (p v q) → (q v p) 22. (р 23. [p → (q A r] • q) A (-p v q) ) [(p → q) ^ (p → r)]
Determine whether each of the following is a tautology, a contradiction or neither: 19. р — (рvq) 20. (p → -q) V (-r → p) 21. (p v q) → (q v p) 22. (р 23. [p → (q A r] • q) A (-p v q) ) [(p → q) ^ (p → r)]
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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Question
![Determine whether each of the following is a tautology, a contradiction or neither:
19. р — (рvq)
20. (p → -q) v (-r → p)
21. (p v q) → (q v p)
22. (р
q) ^ (-p v q)
_23. [p → (q A r] •
n)] → [(p → q) ^ (p → r)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fefb046d9-4149-4b87-abbb-d1a2b27c322f%2Fe1f0f010-f2b1-4f8b-bf6f-73d835e850ca%2Fq9ae6wk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Determine whether each of the following is a tautology, a contradiction or neither:
19. р — (рvq)
20. (p → -q) v (-r → p)
21. (p v q) → (q v p)
22. (р
q) ^ (-p v q)
_23. [p → (q A r] •
n)] → [(p → q) ^ (p → r)]
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