Which of the following is the negation of (Vr € D) (3y = D) ((P(r) → Q(r)) ^ (Q(r) → P(x)))? O (3D) (Vy D) ((P(x) A-Q(z)) V (-P(1) ^ Q(1))) O (3r E D) (Vy & D)(-(P(z) → Q(x))^(Q(z) → P(x))) O (VE D)(3y = D)(-(P(z) → Q(x))^(Q(z) → P(z))) O (VE D) (3y D) ((P(a) A-Q(x)) V (-P(x) ^ Q(x)))

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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Question 15
Which of the following is the negation of (VE D) (y = D) ((P(x) → Q(x)) ^ (Q(r) → P(x)))?
O (3D) (Vy D) ((P(x) A-Q(x)) V (-P(x) ^ Q(1)))
O (3r E D) (Vy € D)(-(P(z) → Q(x))^(Q(z) → P(x)))
O (VE D) (3y = D)(-(P(x) → Q(x))^(Q(z) → P(x)))
O (VE D) (3y D) ((P(a) A-Q(x)) V (-P(x) ^ Q(x)))
Transcribed Image Text:Question 15 Which of the following is the negation of (VE D) (y = D) ((P(x) → Q(x)) ^ (Q(r) → P(x)))? O (3D) (Vy D) ((P(x) A-Q(x)) V (-P(x) ^ Q(1))) O (3r E D) (Vy € D)(-(P(z) → Q(x))^(Q(z) → P(x))) O (VE D) (3y = D)(-(P(x) → Q(x))^(Q(z) → P(x))) O (VE D) (3y D) ((P(a) A-Q(x)) V (-P(x) ^ Q(x)))
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