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Define the following predicates: P(x): x is prime. Q(x): x is a perfect square. The domain for both P(x) and Q(x) is the set of all positive integers. Are the following statements true or false? True v 1. P(23) False 2. 3x(P(x) ^ Q(x)) False v 3. Q(9) True v 4. Q(12) False 5. Vx(Q(x) V P(x))' False v 6. Vx(P(x) → ¬Q(x)) False 7. P(26)

Define the following predicates: P(x): x is prime. Q(x): x is a perfect square. The domain for both P(x) and Q(x) is the set of all positive integers. Are the following statements true or false? True v 1. P(23) False 2. 3x(P(x) ^ Q(x)) False v 3. Q(9) True v 4. Q(12) False 5. Vx(Q(x) V P(x))' False v 6. Vx(P(x) → ¬Q(x)) False 7. P(26)

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Define the following predicates: P(x): x is prime. • Q(x): x is a perfect square. The domain for both P(x) and Q(x) is the set of all positive integers. Are the following statements true or false? True v 1. P(23) False v 2. 3x(P(x) ^ Q(x)) False v 3. Q(9) True v 4. Q(12) False 5. Vx(Q(x) V P(x)) False v 6. Vx(P(x) → ¬Q(x)) False v 7. P(26) Hint
Transcribed Image Text:Define the following predicates: P(x): x is prime. • Q(x): x is a perfect square. The domain for both P(x) and Q(x) is the set of all positive integers. Are the following statements true or false? True v 1. P(23) False v 2. 3x(P(x) ^ Q(x)) False v 3. Q(9) True v 4. Q(12) False 5. Vx(Q(x) V P(x)) False v 6. Vx(P(x) → ¬Q(x)) False v 7. P(26) Hint
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