(1) Consider the following predicates. P(x) is the statement "x - 1 ≥ 0" Q(x) is the statement "x + 0 < -3" R(x) is the statement "x + 1 > 2" Determine the truth value of the following propositions: (a) ¬P(1)∧Q(−2) True or False (b) Q(−7)↔¬R(6) True or False (c) ¬R(4)→P(−3) True or False (2) Determine the truth value of the following compound propositions: (a) 2 + 1 < 8 and 5 + 3 > 5 True or False (b) 4 + 1 = 7 or -1 + 3 ≤ -2 True or False (c) If -3 - 4 < 10, then 4 + 2 ≥ 2 True or False (d) -3 - 5 ≠ -10 if and only if -5 + 2 < 1 True or False
(1) Consider the following predicates. P(x) is the statement "x - 1 ≥ 0" Q(x) is the statement "x + 0 < -3" R(x) is the statement "x + 1 > 2" Determine the truth value of the following propositions: (a) ¬P(1)∧Q(−2) True or False (b) Q(−7)↔¬R(6) True or False (c) ¬R(4)→P(−3) True or False (2) Determine the truth value of the following compound propositions: (a) 2 + 1 < 8 and 5 + 3 > 5 True or False (b) 4 + 1 = 7 or -1 + 3 ≤ -2 True or False (c) If -3 - 4 < 10, then 4 + 2 ≥ 2 True or False (d) -3 - 5 ≠ -10 if and only if -5 + 2 < 1 True or False
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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(1) Consider the following predicates. P(x) is the statement "x - 1 ≥ 0" Q(x) is the statement "x + 0 < -3" R(x) is the statement "x + 1 > 2"
Determine the truth value of the following propositions:
(a) ¬P(1)∧Q(−2) True or False
(b) Q(−7)↔¬R(6) True or False
(c) ¬R(4)→P(−3) True or False
(2) Determine the truth value of the following compound propositions:
(a) 2 + 1 < 8 and 5 + 3 > 5 True or False
(b) 4 + 1 = 7 or -1 + 3 ≤ -2 True or False
(c) If -3 - 4 < 10, then 4 + 2 ≥ 2 True or False
(d) -3 - 5 ≠ -10 if and only if -5 + 2 < 1 True or False
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