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QUESTION 4 Which of the following is a negation of the statement ((X)O^(X) dL)XA ((X)0L V (X)d)XA 3X(P(x)^ ¬Qx)) 3X(P(x)v ¬Qx)) 3X (P(x)^Qx)) QUESTION 5 What is the truth value of Vx(x2 (a) If the domain of x is R? (b) If the domain of x is Z? Enter T for "truth" and F for "false".

QUESTION 4 Which of the following is a negation of the statement ((X)O^(X) dL)XA ((X)0L V (X)d)XA 3X(P(x)^ ¬Qx)) 3X(P(x)v ¬Qx)) 3X (P(x)^Qx)) QUESTION 5 What is the truth value of Vx(x2 (a) If the domain of x is R? (b) If the domain of x is Z? Enter T for "truth" and F for "false".

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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**QUESTION 4** Which of the following is a negation of the statement \(\forall x (\neg P(x) \lor Q(x))\): - \(\forall x (P(x) \land \neg Q(x))\) - \(\exists x (P(x) \land \neg Q(x))\) - \(\exists x (P(x) \lor \neg Q(x))\) - \(\exists x (\neg P(x) \land Q(x))\) **QUESTION 5** What is the truth value of \(\forall x (x^2 \geq x)\): (a) If the domain of \(x\) is \(\mathbb{R}\)? (b) If the domain of \(x\) is \(\mathbb{Z}\)? Enter T for "truth" and F for "false".
Transcribed Image Text:**QUESTION 4** Which of the following is a negation of the statement \(\forall x (\neg P(x) \lor Q(x))\): - \(\forall x (P(x) \land \neg Q(x))\) - \(\exists x (P(x) \land \neg Q(x))\) - \(\exists x (P(x) \lor \neg Q(x))\) - \(\exists x (\neg P(x) \land Q(x))\) **QUESTION 5** What is the truth value of \(\forall x (x^2 \geq x)\): (a) If the domain of \(x\) is \(\mathbb{R}\)? (b) If the domain of \(x\) is \(\mathbb{Z}\)? Enter T for "truth" and F for "false".
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