Underline the domain, write it symbolically and then write the negation of the following If an integer n is divisible by 6, then 2|n and 3|n. Symbolically: Negation: Which is true: the original, the negation, or neither?
Underline the domain, write it symbolically and then write the negation of the following If an integer n is divisible by 6, then 2|n and 3|n. Symbolically: Negation: Which is true: the original, the negation, or neither?
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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Symbolically: Let D be the domain of integers. Then, the conditional statement can be represented as:
For all n ∈ D, if n is divisible by 6, then 2 | n and 3 | n.
The domain is the set of integers, denoted by D.
Negation: The negation of the conditional statement "if p, then q" is "p and not q". Applying this to the original statement, the negation would be:
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