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Database System Concepts
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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discrete structure 

Consider the relation R3 on P({0, 1, 2, 3}) such that (A, B) E R3 if and only if the sum of elements in A is equal to the sum of elements in B and if A and B are nonempty then the largest element in A equals the largest element in B. (That is, R3 = Rị n R2 from question 1.) Select all that are true: O a) R3 is reflexive O b) R3 is symmetric c) R3 is transitive d) R3 is an equivalence relation
Transcribed Image Text:Consider the relation R3 on P({0, 1, 2, 3}) such that (A, B) E R3 if and only if the sum of elements in A is equal to the sum of elements in B and if A and B are nonempty then the largest element in A equals the largest element in B. (That is, R3 = Rị n R2 from question 1.) Select all that are true: O a) R3 is reflexive O b) R3 is symmetric c) R3 is transitive d) R3 is an equivalence relation
Question 2 (1 point) Consider the relation R5 on P({0, 1, 2, 3}) such that (A, B) E R5 if and only if |A| = |B|. Select all that are true: a) R5 is reflexive b) R5 is symmetric c) R5 is transitive O d) R5 is an equivalence relation
Transcribed Image Text:Question 2 (1 point) Consider the relation R5 on P({0, 1, 2, 3}) such that (A, B) E R5 if and only if |A| = |B|. Select all that are true: a) R5 is reflexive b) R5 is symmetric c) R5 is transitive O d) R5 is an equivalence relation
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