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)))

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 32EQ
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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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