Let A = {a, b, c} Define a relation as follows: ARA = {(a, b), (a, c), (b, c)} To obtain the SYMMETRIC closure of the above relation, we need the following ADDITIONAL ordered pairs: (check all that apply) None. The relation is already symmetric (a,a) (b,a) (b,b) (c,a) (c,b) (c,c)

Let A = {a, b, c} Define a relation as follows: ARA = {(a, b), (a, c), (b, c)} To obtain the SYMMETRIC closure of the above relation, we need the following ADDITIONAL ordered pairs: (check all that apply) None. The relation is already symmetric (a,a) (b,a) (b,b) (c,a) (c,b) (c,c)

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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Linear Programming Concepts

Linear programming is a famous mathematical modeling tool for determining the best distribution of scarce resources among competing demands. Machinery, time, personnel, raw materials, money, and space are all resources. It is used to find the most optimal solution to a problem with given constraints. The real-life situations can be formulated using linear programming concepts into a mathematical model. Linear programming problems consist of an objective function and linear equalities subjected to constraints.

Question

Solve the following:

Let A = {a, b, c}
Define a relation as follows:
ARA = {(a, b) , (a, c), (b, c)}
To obtain the SYMMETRIC closure of the above relation, we need the following ADDITIONAL ordered pairs: (check all that apply)
None. The relation is already symmetric
(a,a)
(b,a)
(b,b)
(c,a)
(c,b)
(c,c)

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