A = {1,3,7,9,10} , and let R be the relation on A defined by x < y', {(x, y) e A:x² < y} Write R as a set of ordered pairs. Determine whether R is reflexive, symmetric, antisymmetric a transitive. Find the zero-one matrix for relation R.

A = {1,3,7,9,10} , and let R be the relation on A defined by x < y', {(x, y) e A:x² < y} Write R as a set of ordered pairs. Determine whether R is reflexive, symmetric, antisymmetric a transitive. Find the zero-one matrix for relation R.

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

2
Let A = {1,3,7,9,10} , and let R be the relation on A defined by 'x? < y',
2
R = {(x, y) E A:x² < y}
(i)
(ii)
Write R as a set of ordered pairs.
Determine whether R is reflexive, symmetric, antisymmetric and/or
transitive.
(iii)
Find the zero-one matrix for relation R.

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