Question 6PS: Please choose correctly. Given:(1) Let A be the set of real numbers, and R be the equivalence relation such thatxRy 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 FalseO b. (1) and (2) are False○ c. (1) is False and (2) is TrueO d. (1) and (2) are True

(1) For the equivalence relation R defined on the set of real numbers, where xRy if and only if x -…

Answered: Given: (1) Let A be the set of real…

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

PS: Please choose correctly.

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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