Part 2. Determine whether each argument is valid. If the argument is valid, give a proof using the laws of logic. If the argument is invalid, give values for the pred- icates P and Q over the domain a, b that demonstrate the argument is invalid. (a) (b) 3x (P(x) ^ Q(x)) ..Er Q(x)^3x P(x) Vx (P(x) V Q(x)) VrQ(x)\\ P(x)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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Part 2. Determine whether each argument is valid. If the argument is valid, give
a proof using the laws of logic. If the argument is invalid, give values for the pred-
icates P and Q over the domain a, b that demonstrate the argument is invalid.
(a)
(b)
Ex (P(x) ^ Q(x))
Ex Q(x)^3x P(x)
Vx (P(x) V Q(x))
VQ(x) VVxP(x)
Transcribed Image Text:Part 2. Determine whether each argument is valid. If the argument is valid, give a proof using the laws of logic. If the argument is invalid, give values for the pred- icates P and Q over the domain a, b that demonstrate the argument is invalid. (a) (b) Ex (P(x) ^ Q(x)) Ex Q(x)^3x P(x) Vx (P(x) V Q(x)) VQ(x) VVxP(x)
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