1) What is the negation of the following: "If I am hungry the I ear an apple." A. If I don't eat an apple then I'm not hungry. B. I am hungry or I don't eat an apple. C. I am not hungry or I eat an apple. D. If I am not hungry then I don't eat an apple. E. I am hungry and I eat an apple. F. I am hungry or I eat an apple. G. I am not hungry and I don't eat an apple. H. I am hungry and I don't eat an apple. I. If I am not hungry then I eat an apple. J. If I eat an apple then I am hungry. K. If I am hungry then I eat an apple. 2) What is the negation of the following: "If n is divisble by 6 then n is divisible by both 2 and 3." A. n is divisible by 6 or n is divisible by both 2 and 3. B. If n is not divisible by 6 then n is divisible by both 2 and 3. C. n is not divisible by 6 or n is divisible by both 2 and 3. D. If n is divisible by both 2 and 3 then n is divisible by 6. E. n is divisible by 6 or n is not divisible by both 2 and 3. F. n is not divisible by 6 and n is divisible by both 2 and 3. G. n is divisible by 6 and n is divisible by both 2 and 3. H. If n is not divisible by 6 then n is not divisible by both 2 and 3. I. If n is divisible by 6 then n is divisible by both 2 and 3. J. If n is not divisible by both 2 and 3 then n is not divisible by 6. K. n is divisible by 6 and n is not 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
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1) What is the negation of the following: "If I am hungry the I ear an apple."

A. If I don't eat an apple then I'm not hungry.
B. I am hungry or I don't eat an apple.
C. I am not hungry or I eat an apple.
D. If I am not hungry then I don't eat an apple.
E. I am hungry and I eat an apple.
F. I am hungry or I eat an apple.
G. I am not hungry and I don't eat an apple.
H. I am hungry and I don't eat an apple.
I. If I am not hungry then I eat an apple.
J. If I eat an apple then I am hungry.
K. If I am hungry then I eat an apple.

2) What is the negation of the following: "If n is divisble by 6 then n is divisible by both 2 and 3."

A. n is divisible by 6 or n is divisible by both 2 and 3.
B. If n is not divisible by 6 then n is divisible by both 2 and 3.
C. n is not divisible by 6 or n is divisible by both 2 and 3.
D. If n is divisible by both 2 and 3 then n is divisible by 6.
E. n is divisible by 6 or n is not divisible by both 2 and 3.
F. n is not divisible by 6 and n is divisible by both 2 and 3.
G. n is divisible by 6 and n is divisible by both 2 and 3.
H. If n is not divisible by 6 then n is not divisible by both 2 and 3.
I. If n is divisible by 6 then n is divisible by both 2 and 3.
J. If n is not divisible by both 2 and 3 then n is not divisible by 6.
K. n is divisible by 6 and n is not divisible by both 2 and 3.

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