Consider the following statements, where the domain of each variable is R: (1) ForEvery x ThereExists y ((x + y = 2) AND (2x - y = 1)). (2) ThereExists x ForEvery y (y 0 -> xy= 1). (3) ForEvery x ForEvery y ThereExists z (x + y = 2z). Select one of the following choices: a. (1) is False, and (2) and (3) are True O b. (1) and (3) are False, and (2) is True O c. (1) and (2) are False, and (3) is True O d. (1) and (2) are True, and (3) is False O e. None of the Given Choices

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
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Question 7

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Consider the following statements, where the domain of each variable is R:
(1) ForEvery x ThereExists y ((x + y = 2) AND (2x - y = 1)).
(2) ThereExists x ForEvery y (y 0 -> xy= 1).
(3) ForEvery x ForEvery y ThereExists z (x + y = 2z).
Select one of the following choices:
a. (1) is False, and (2) and (3) are True
O b. (1) and (3) are False, and (2) is True
O c. (1) and (2) are False, and (3) is True
O d. (1) and (2) are True, and (3) is False
O e. None of the Given Choices
Transcribed Image Text:Consider the following statements, where the domain of each variable is R: (1) ForEvery x ThereExists y ((x + y = 2) AND (2x - y = 1)). (2) ThereExists x ForEvery y (y 0 -> xy= 1). (3) ForEvery x ForEvery y ThereExists z (x + y = 2z). Select one of the following choices: a. (1) is False, and (2) and (3) are True O b. (1) and (3) are False, and (2) is True O c. (1) and (2) are False, and (3) is True O d. (1) and (2) are True, and (3) is False O e. None of the Given Choices
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