Answered: 2. Let A = {0, 1, 2, 3} R = {(0, 0),…

2. Let A = {0, 1, 2, 3} R = {(0, 0), (0, 1), (0, 2), (1, 1), (1, 2), (2,0), (2, 2), (2, 3), (3.0)} Is R reflexive? Is R symmetric? Is R transitive? Justify your answers.

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

Recurrence relation

A recurrence relation or recursive relation is an equation that represents a function in terms of the values of its smaller inputs. Every recurrence relation T(n) is a recursive function of integer n and consists of a base case and a recursive case.

Question

2. Let
A = {0, 1, 2, 3}
R = {(0, 0), (0, 1), (0, 2), (1, 1), (1, 2), (2, 0), (2, 2), (2, 3), (3.0)}
Is R reflexive? Is R symmetric? Is R transitive? Justify your answers.

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Step 1: To determine whether the relation R is reflexive, symmetric, and/or transitive:

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Step 2: Now let's analyze each property of R:

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