Let the domain be the set of all animals. Define the following predicates: A(x) : x can add. W(x) : x can waltz. • D(x) : x is a dog. • C(x) : x is a cat. Translate each of the following logical expressions into English. 1. Vx(D(x) → (A(x) v W(x)). 2. Ex(C(x) A ¬A(x) A W(x)) 3. ¬3x(D(x) A A(x)) 4. Vx((D(x) V C(x)) → W(x))

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 87E
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Let the domain be the set of all animals. Define the following predicates:
A(x) : x can add.
W(x) : x can waltz.
• D(x) : x is a dog.
. Сх) : х is a cat.
Translate each of the following logical expressions into English.
1. Vx(D(x) → (A(x) V W(x)).
2. Эx(С(х) л -А(х) л W(x))
3. -Эx(D(x) ЛA(х))
4. Vx((D(x) V C(x)) → W(x))
Transcribed Image Text:Let the domain be the set of all animals. Define the following predicates: A(x) : x can add. W(x) : x can waltz. • D(x) : x is a dog. . Сх) : х is a cat. Translate each of the following logical expressions into English. 1. Vx(D(x) → (A(x) V W(x)). 2. Эx(С(х) л -А(х) л W(x)) 3. -Эx(D(x) ЛA(х)) 4. Vx((D(x) V C(x)) → W(x))
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