Consider the following statements: (1) For A = {0} and R = {(0, 0)}, R is both an equivalence relation and a partial order. (2)2 + 3 (0 div 7+1 mod 7) is a prime number. (3) The Hasse Diagram for ({4, 5, 6}, <) and the Hasse Diagram for ({4, 5, 6},≥) are identical. Select one of the following choices: a. None of the Above O b. (1) and (3) are True, (2) is False ○ c. (1) and (2) are False, (3) is True O d. (2) and (3) are True, (1) is False e. (1) and (2) are True, (3) is False

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
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Question 21

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Consider the following statements:
(1) For A = {0} and R = {(0, 0)}, R is both an equivalence relation and a partial
order.
(2)2 + 3 (0 div 7+1 mod 7) is a prime number.
(3) The Hasse Diagram for ({4, 5, 6}, <) and the Hasse Diagram for ({4, 5, 6},≥)
are identical.
Select one of the following choices:
a. None of the Above
O b. (1) and (3) are True, (2) is False
○ c. (1) and (2) are False, (3) is True
O d. (2) and (3) are True, (1) is False
e. (1) and (2) are True, (3) is False
Transcribed Image Text:Consider the following statements: (1) For A = {0} and R = {(0, 0)}, R is both an equivalence relation and a partial order. (2)2 + 3 (0 div 7+1 mod 7) is a prime number. (3) The Hasse Diagram for ({4, 5, 6}, <) and the Hasse Diagram for ({4, 5, 6},≥) are identical. Select one of the following choices: a. None of the Above O b. (1) and (3) are True, (2) is False ○ c. (1) and (2) are False, (3) is True O d. (2) and (3) are True, (1) is False e. (1) and (2) are True, (3) is False
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