Question 25Please choose the right option wisely. Consider the following statements:(1) The "xy is a prime number" relation on the set of positive integers istransitive.(2) For S = {0, 1, 2, ..., 9}, f: S -> S be defined by f(k) = (5k + 3) mod 10 is notinvertible.(3) The relation shown as a directed graph below is not a partial order.αbdSelect one of the following choices:O a. (1) and (2) are True, (3) is FalseO b. (2) and (3) are True, (1) is FalseO c. None of the AboveO d. (1) and (3) are False, (2) is True○ e.(1) and (3) are True, (2) is False

Statement (1)The "x + y is a prime number" relation on the set of positive integers is…

Answered: Consider the following statements: (1)…

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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Question 25

Please choose the right option wisely.

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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