Negate the following and "simplify" the negation There exists an integer n, so that for all integers r and s, if n = rs, then r> 1 and s> 1.
Negate the following and "simplify" the negation There exists an integer n, so that for all integers r and s, if n = rs, then r> 1 and s> 1.
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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Discrete Math
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Step 1
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The negation of the statement is: For all integers n, there exist integers r and s, such that n = rs and either r ≤ 1 or s ≤ 1.
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