gers, (a) (y)(3x)(x, y) O True. Given y, set x = y, and x/y = 1 is an integer. O False. Given x, for example, the number x/y will not be an integer for all y, because there are integers y that do not divide x. (b) (3) (y)(x, y) O True. Given y, set x = y, and x/y = 1 is an integer. O False. Given x, for example, the number x/y will not be an integer for all y, because there are integers y that do not divide x.

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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In the domain of nonzero integers, let I(x, y) be the predicate "x/y is an integer." Determine whether the following statements are true or false, and explain why.
(a) (vy)(3x)(x, y)
O True. Given y, set x = y, and x/y = 1 is an integer.
O False. Given x, for example, the number x/y will not be an integer for all y, because there are integers y that do not divide x.
(b)
(3x)(V)(x, y)
O True. Given y, set x = y, and x/y = 1 is an integer.
O False. Given x, for example, the number x/y will not be an integer for all y, because there are integers y that do not divide x.
Oukit Aman
Transcribed Image Text:In the domain of nonzero integers, let I(x, y) be the predicate "x/y is an integer." Determine whether the following statements are true or false, and explain why. (a) (vy)(3x)(x, y) O True. Given y, set x = y, and x/y = 1 is an integer. O False. Given x, for example, the number x/y will not be an integer for all y, because there are integers y that do not divide x. (b) (3x)(V)(x, y) O True. Given y, set x = y, and x/y = 1 is an integer. O False. Given x, for example, the number x/y will not be an integer for all y, because there are integers y that do not divide x. Oukit Aman
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