Question 27Choose the right option only. Let there be following relations on the set of positive integers:R = {(x, y) | x+y>10}S = {(x, y) | y divides x}T= {(x, y) | gcd(x, y) = 1}Given:(1) T is not symmetric, but T reflexive.(2) R is antisymmetric.(3) S is not transitive.Select one of the following choices:O a. (1) and (2) are FalseO b. (2) is True and (3) is FalseO c. (1) is False and (3) is TrueO d. (1) and (2) are True

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Answered: Let there be following relations on the…

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 27

Choose the right option only.

Let there be following relations on the set of positive integers:
R = {(x, y) | x+y>10}
S = {(x, y) | y divides x}
T= {(x, y) | gcd(x, y) = 1}
Given:
(1) T is not symmetric, but T reflexive.
(2) R is antisymmetric.
(3) S is not transitive.
Select one of the following choices:
O a. (1) and (2) are False
O b. (2) is True and (3) is False
O c. (1) is False and (3) is True
O d. (1) and (2) are True

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