3. Which of the following are equivalent to Vx: P(x) ^ Q(x)? a. 3x : ¬P(x) V¬Q(x) b. Vx : ¬P(x) ⇒ Q(x) c. Vx : ¬Q(x) ⇒ P(x)

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 9TFE: Label each of the following statement as either true or false. 9. If ab and ba then a=b.
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3. Which of the following are equivalent to Vx : P(x) ^ Q(æ)?
a. ¬3r : ¬P(x) v ¬Q(x)
b. Vr : ¬P(x) → Q(x)
c. Væ : ¬Q(x) → P(x)
Transcribed Image Text:3. Which of the following are equivalent to Vx : P(x) ^ Q(æ)? a. ¬3r : ¬P(x) v ¬Q(x) b. Vr : ¬P(x) → Q(x) c. Væ : ¬Q(x) → P(x)
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