5. Which of the following are tautologies? / A. P (Qv-Q B. (P+-P) C. (P+ Q) ++ (P Q) D. P (Q P)

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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answer item 5 only
4. Assume that A and B are Falsc, and C, D, and E are Truc, which of the following
sentences are Truc? (
A. (A + B) + (D→ E)
B. (A v D) – E
C. A+ (C v B)
D. A [(B C) (D → E)]
5. Which of the following are tautologies?/
A. P (Qv-Q)
B. (P -P)
C. (P+ Q) (P Q)
D. P (Q P)
6. Which of the following is a valid argument?(C
A. (R+ S) Q
B. (T v S) v Q
C. (P Q)(-P (PvQ)
D. ((-P- Q) (QR)(-P R)
Transcribed Image Text:4. Assume that A and B are Falsc, and C, D, and E are Truc, which of the following sentences are Truc? ( A. (A + B) + (D→ E) B. (A v D) – E C. A+ (C v B) D. A [(B C) (D → E)] 5. Which of the following are tautologies?/ A. P (Qv-Q) B. (P -P) C. (P+ Q) (P Q) D. P (Q P) 6. Which of the following is a valid argument?(C A. (R+ S) Q B. (T v S) v Q C. (P Q)(-P (PvQ) D. ((-P- Q) (QR)(-P R)
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