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Consider the following statements: (1) The "xy is a prime number" relation on the set of positive integers is transitive. (2) For S = {0, 1, 2, ..., 9}, f: S -> S be defined by f(k) = (5k + 3) mod 10 is not invertible. (3) The relation shown as a directed graph below is not a partial order. α b d Select one of the following choices: O a. (1) and (2) are True, (3) is False O b. (2) and (3) are True, (1) is False O c. None of the Above O d. (1) and (3) are False, (2) is True ○ e. (1) and (3) are True, (2) is False

Consider the following statements: (1) The "xy is a prime number" relation on the set of positive integers is transitive. (2) For S = {0, 1, 2, ..., 9}, f: S -> S be defined by f(k) = (5k + 3) mod 10 is not invertible. (3) The relation shown as a directed graph below is not a partial order. α b d Select one of the following choices: O a. (1) and (2) are True, (3) is False O b. (2) and (3) are True, (1) is False O c. None of the Above O d. (1) and (3) are False, (2) is True ○ e. (1) and (3) are True, (2) is False

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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Consider the following statements: (1) The "xy is a prime number" relation on the set of positive integers is transitive. (2) For S = {0, 1, 2, ..., 9}, f: S -> S be defined by f(k) = (5k + 3) mod 10 is not invertible. (3) The relation shown as a directed graph below is not a partial order. α b d Select one of the following choices: O a. (1) and (2) are True, (3) is False O b. (2) and (3) are True, (1) is False O c. None of the Above O d. (1) and (3) are False, (2) is True ○ e. (1) and (3) are True, (2) is False
Transcribed Image Text:Consider the following statements: (1) The "xy is a prime number" relation on the set of positive integers is transitive. (2) For S = {0, 1, 2, ..., 9}, f: S -> S be defined by f(k) = (5k + 3) mod 10 is not invertible. (3) The relation shown as a directed graph below is not a partial order. α b d Select one of the following choices: O a. (1) and (2) are True, (3) is False O b. (2) and (3) are True, (1) is False O c. None of the Above O d. (1) and (3) are False, (2) is True ○ e. (1) and (3) are True, (2) is False
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