What is the negation of the following: "If n is divisible by 6 then n is divisible by both 2 and 3." OA. If n is not divisible by both 2 and 3 then n is not divisible by 6. B. n is divisible by 6 or n is divisible by both 2 and 3. C. If n is not divisible by 6 then n is divisible by both 2 and 3. OD. n is not divisible by 6 or n is divisible by both 2 and 3. ⒸE. n is divisible by 6 and n is not divisible by both 2 and 3. F. If n is divisible by both 2 and 3 then n is divisible by 6. G. n is not divisible by 6 and n is divisible by both 2 and 3. H. If n is divisible by 6 then n is divisible by both 2 and 3. I. n is divisible by 6 or n is not divisible by both 2 and 3. J. If n is not divisible by 6 then n is not divisible by both 2 and 3. OK. n is divisible by 6 and n is divisible by both 2 and 3.

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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What is the negation of the following: "If n is divisible by 6 then n is divisible by both 2 and 3."
A. If n is not divisible by both 2 and 3 then n is not divisible by 6.
B. n is divisible by 6 or n is divisible by both 2 and 3.
C. If n is not divisible by 6 then n is divisible by both 2 and 3.
D. n is not divisible by 6 or n is divisible by both 2 and 3.
E. n is divisible by 6 and n is not divisible by both 2 and 3.
F. If n is divisible by both 2 and 3 then n is divisible by 6.
G. n is not divisible by 6 and n is divisible by both 2 and 3.
H. If n is divisible by 6 then n is divisible by both 2 and 3.
I. n is divisible by 6 or n is not divisible by both 2 and 3.
J. If n is not divisible by 6 then n is not divisible by both 2 and 3.
K. n is divisible by 6 and n is divisible by both 2 and 3.
Transcribed Image Text:What is the negation of the following: "If n is divisible by 6 then n is divisible by both 2 and 3." A. If n is not divisible by both 2 and 3 then n is not divisible by 6. B. n is divisible by 6 or n is divisible by both 2 and 3. C. If n is not divisible by 6 then n is divisible by both 2 and 3. D. n is not divisible by 6 or n is divisible by both 2 and 3. E. n is divisible by 6 and n is not divisible by both 2 and 3. F. If n is divisible by both 2 and 3 then n is divisible by 6. G. n is not divisible by 6 and n is divisible by both 2 and 3. H. If n is divisible by 6 then n is divisible by both 2 and 3. I. n is divisible by 6 or n is not divisible by both 2 and 3. J. If n is not divisible by 6 then n is not divisible by both 2 and 3. K. n is divisible by 6 and n is divisible by both 2 and 3.
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