(3) The notation 3! is read "there exists a unique." It means there exists one and only one such object. Write each of the following claims in English and explain whether it is true or false. (3.1) 3!x E N such that x is an even number and x is a prime number. (3.2) 3!x E R such that V y E R, xy = y. (3.3) Vx E R, 3!y E R such that xy = 0.
(3) The notation 3! is read "there exists a unique." It means there exists one and only one such object. Write each of the following claims in English and explain whether it is true or false. (3.1) 3!x E N such that x is an even number and x is a prime number. (3.2) 3!x E R such that V y E R, xy = y. (3.3) Vx E R, 3!y E R such that xy = 0.
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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Transcribed Image Text:(3) The notation 3! is read "there exists a unique." It means there exists one and only one such object.
Write each of the following claims in English and explain whether it is true or false.
(3.1) 3! x E N such that x is an even number and x is a prime number.
(3.2) 3!x E R such that Vy E R, xy = y.
(3.3) Vx E R, 3!y E R such that xy = 0.
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