Determine whether the relation defined on the set of positive integers is reflexive, symmetric, antisymmetric, asymmetric or transitive. (x, y) E R if xy = 1 Antisymmetric Asymmetric Symmetric Reflexive Transitive

Determine whether the relation defined on the set of positive integers is reflexive, symmetric, antisymmetric, asymmetric or transitive. (x, y) E R if xy = 1 Antisymmetric Asymmetric Symmetric Reflexive Transitive

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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Concept explainers

Any Pair Segment

A line segment is the part of a line that is represented by a connection of two end points. It encompasses both ends of the line, as well as all points in between. The length of a line cannot be measured, but the length of a segment can be measured. If a line segment is bounded by two end points, it is called a closed line segment, whereas an open line segment does not have both endpoints. A line segment with a single endpoint is called half-open. A closed line segment contains every point on the line that exists between the two end points. For example, if L is a line, then AB is a line segment of line L where A and B are endpoints of the line segment.

Question

Determine whether the relation defined on the set of positive integers is reflexive,
symmetric, antisymmetric, asymmetric or transitive.
(x, y) E R if xy = 1
%3D
O Antisymmetric
OAsymmetric
Symmetric
OReflexive
Transitive

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