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(1) The "x + y is a prime number" relation on Z is transitive. (2) For S= {0, 1, 2, 9},f: SS 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. ... Select one of the following choices: (a) (2) and (3) are True, (1) is False. (c) (1) and (3) are False, (2) is True. b (b) (1) and (2) are True, (3) is False. (d) (1) and (3) are True, (2) is False.

(1) The "x + y is a prime number" relation on Z is transitive. (2) For S= {0, 1, 2, 9},f: SS 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. ... Select one of the following choices: (a) (2) and (3) are True, (1) is False. (c) (1) and (3) are False, (2) is True. b (b) (1) and (2) are True, (3) is False. (d) (1) and (3) are True, (2) is False.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following statements:

(1) The "x + y is a prime number" relation on Z is transitive. (2) For S= {0, 1, 2, 9},f: SS 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. ... Select one of the following choices: (a) (2) and (3) are True, (1) is False. (c) (1) and (3) are False, (2) is True. b (b) (1) and (2) are True, (3) is False. (d) (1) and (3) are True, (2) is False.
Transcribed Image Text:(1) The "x + y is a prime number" relation on Z is transitive. (2) For S= {0, 1, 2, 9},f: SS 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. ... Select one of the following choices: (a) (2) and (3) are True, (1) is False. (c) (1) and (3) are False, (2) is True. b (b) (1) and (2) are True, (3) is False. (d) (1) and (3) are True, (2) is False.
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