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
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 6
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd3be9fc5-49dc-4987-93dc-30b0d6519ab7%2Ff976adb5-0546-4988-bd88-7517d043d79f%2F0aa0n3b_processed.png&w=3840&q=75)
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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