Find the negation of the following statement: "Every non-zero integer can be factored as a product of prime numbers." Select one: O a. There exists a non-zero integer that can be factored as a product of prime numbers. O b. All integers cannot be factored as a product of prime numbers. O c. There exists a non-zero integer which cannot be factored as a product of prime numbers. O d. All integers can be factored as a product of prime numbers. O e. None of the other answers is the negation of this statement.
Find the negation of the following statement: "Every non-zero integer can be factored as a product of prime numbers." Select one: O a. There exists a non-zero integer that can be factored as a product of prime numbers. O b. All integers cannot be factored as a product of prime numbers. O c. There exists a non-zero integer which cannot be factored as a product of prime numbers. O d. All integers can be factored as a product of prime numbers. O e. None of the other answers is the negation of this statement.
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:Find the negation of the following statement:
"Every non-zero integer can be factored as a product of prime numbers."
Select one:
O a. There exists a non-zero integer that can be factored as a product of prime numbers.
O b. All integers cannot be factored as a product of prime numbers.
O c. There exists a non-zero integer which cannot be factored as a product of prime numbers.
d. All integers can be factored as a product of prime numbers.
e. None of the other answers is the negation of this statement.
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