C. It does not rain and I don't take an umbrella. D. It does not rain or I do not take an umbrella. E. It rains or I take an umbrella. F. It rains and I don't take an umbrella. G. It rains or I don't take an umbrella. H. It rains and I take an umbrella. 2) What is the negation of the following statement: "n is prime or n is odd or n is 2." A. n is prime and n is even but not 2. B. n is composite or n is odd or n is 2. C. n is prime or n is odd or n is 2. D. n is composite and n is odd or n is 2. E. n is prime and n is odd or n is 2. F. n is prime or n is even but not 2. G. n is composite and n is even but not 2. H. n is composite or n is even but not 2.

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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1) What is the negation of the following: "It rains and I take an umbrella." 

A. It does not rain and I take an umbrella.
B. It does not rain or I take an umbrella.
C. It does not rain and I don't take an umbrella.
D. It does not rain or I do not take an umbrella.
E. It rains or I take an umbrella.
F. It rains and I don't take an umbrella.
G. It rains or I don't take an umbrella.
H. It rains and I take an umbrella.

2) What is the negation of the following statement: "n is prime or n is odd or n is 2."

A. n is prime and n is even but not 2.
B. n is composite or n is odd or n is 2.
C. n is prime or n is odd or n is 2.
D. n is composite and n is odd or n is 2.
E. n is prime and n is odd or n is 2.
F. n is prime or n is even but not 2.
G. n is composite and n is even but not 2.
H. n is composite or n is even but not 2.

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