Which of the following is equivalent to ¬(∃x(P(x)∨Q(x)))? 1. ∀x(¬P(x)∧¬Q(x)) 2. ∃x¬(P(x)∨Q(x)) 3. ∀x(¬P(x)∨¬Q(x)) 4. ∃x(¬P(x)∧¬Q(x))
Which of the following is equivalent to ¬(∃x(P(x)∨Q(x)))? 1. ∀x(¬P(x)∧¬Q(x)) 2. ∃x¬(P(x)∨Q(x)) 3. ∀x(¬P(x)∨¬Q(x)) 4. ∃x(¬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
Problem 1RQ
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Which of the following is equivalent to ¬(∃x(P(x)∨Q(x)))?
1. ∀x(¬P(x)∧¬Q(x))
2. ∃x¬(P(x)∨Q(x))
3. ∀x(¬P(x)∨¬Q(x))
4. ∃x(¬P(x)∧¬Q(x))
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