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Given: (1) Let A be the set of real numbers, and R be the equivalence relation such that xRy if and only if x - y is an integer. Then, [-1] = [1]. (2) If a relation on a set is not asymmetric, then it is also not antisymmetric. Select one of the following choices: O a. (1) is True and (2) is False O b. (1) and (2) are False ○ c. (1) is False and (2) is True O d. (1) and (2) are True

Given: (1) Let A be the set of real numbers, and R be the equivalence relation such that xRy if and only if x - y is an integer. Then, [-1] = [1]. (2) If a relation on a set is not asymmetric, then it is also not antisymmetric. Select one of the following choices: O a. (1) is True and (2) is False O b. (1) and (2) are False ○ c. (1) is False and (2) is True O d. (1) and (2) are True

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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Given: (1) Let A be the set of real numbers, and R be the equivalence relation such that xRy if and only if x - y is an integer. Then, [-1] = [1]. (2) If a relation on a set is not asymmetric, then it is also not antisymmetric. Select one of the following choices: O a. (1) is True and (2) is False O b. (1) and (2) are False ○ c. (1) is False and (2) is True O d. (1) and (2) are True
Transcribed Image Text:Given: (1) Let A be the set of real numbers, and R be the equivalence relation such that xRy if and only if x - y is an integer. Then, [-1] = [1]. (2) If a relation on a set is not asymmetric, then it is also not antisymmetric. Select one of the following choices: O a. (1) is True and (2) is False O b. (1) and (2) are False ○ c. (1) is False and (2) is True O d. (1) and (2) are True
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