6. Is the following a valid deduction rule? Explain. P → ¬Q ¬P → R : PV¬Q V R 7. Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues modulo 6. An integer being a multiple of 6 means 3 and 2 are both factors may be a helpful fact, as well.]
6. Is the following a valid deduction rule? Explain. P → ¬Q ¬P → R : PV¬Q V R 7. Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues modulo 6. An integer being a multiple of 6 means 3 and 2 are both factors may be a helpful fact, as well.]
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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Please answer question 6 with details on how to do it. Thank you.
![6. Is the following a valid deduction rule? Explain.
P → ¬Q
¬P → R
.. PV¬Q V R
7. Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues
modulo 6. An integer being a multiple of 6 means 3 and 2 are both factors may be a helpful
fact, as well.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1296c196-158c-4a2c-9587-82b5996e9fed%2Fec99c1d0-4507-4714-a9d9-7360fe4d6994%2Fn107c0s_processed.jpeg&w=3840&q=75)
Transcribed Image Text:6. Is the following a valid deduction rule? Explain.
P → ¬Q
¬P → R
.. PV¬Q V R
7. Prove that if n² is a multiple of 6, then n is also a multiple of 6. [Hint: Consider residues
modulo 6. An integer being a multiple of 6 means 3 and 2 are both factors may be a helpful
fact, as well.]
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