a) Negate the following statement: ((p^q) Vr)→s Choose the correct statement: • A. ((~ pV ~ g) ^ ~r) Vs B. ((pVq) Ar)^\~S • C. ((p^q) Vr)^~S D. ((~p^~q)V~r) Vs b) Negate the following statement: (~pVg)^~(p^q) Choose the correct statement: • A. (~p^~q)^(pVq) •B. (~p^~q) V (~ pV ~q) C. (pV~q) v (p^q) • D. (p^~q) V (p^q)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question

kindly answer it perfectly

a) Negate the following statement:
((p^q) Vr)→s
Choose the correct statement:
• A. ((~ pV ~ g) ^ ~r) Vs
B. ((pVq) Ar)^\~S
• C. ((p^q) Vr)^~S
D. ((~p^~q)V~r) Vs
b) Negate the following statement:
(~pVg)^~(p^q)
Choose the correct statement:
• A. (~p^~q) ^ (pvq)
•B. (~p^~q) V (~ pV ~q)
C. (pV~q) v (p^q)
• D. (p^~q) V (p^q)
Transcribed Image Text:a) Negate the following statement: ((p^q) Vr)→s Choose the correct statement: • A. ((~ pV ~ g) ^ ~r) Vs B. ((pVq) Ar)^\~S • C. ((p^q) Vr)^~S D. ((~p^~q)V~r) Vs b) Negate the following statement: (~pVg)^~(p^q) Choose the correct statement: • A. (~p^~q) ^ (pvq) •B. (~p^~q) V (~ pV ~q) C. (pV~q) v (p^q) • D. (p^~q) V (p^q)
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