Write negations for each of the following statements. You may use symbols to perform a negation, but state the final result in words. a. If today is Monday, then tomorrow is Tuesday. b. If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Question 1
Write negations for each of the following statements. You may use symbols to perform a negation, but
state the final result in words.
a. If today is Monday, then tomorrow is Tuesday.
b. If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.
Hint: It may be helpful to use one or more of the following equivalences. (Since, we previously proved
them, it's fair game to use them.)
• p q =~pv q
(pq) = p^~q
Transcribed Image Text:Question 1 Write negations for each of the following statements. You may use symbols to perform a negation, but state the final result in words. a. If today is Monday, then tomorrow is Tuesday. b. If n is divisible by 6, then n is divisible by 2 and n is divisible by 3. Hint: It may be helpful to use one or more of the following equivalences. (Since, we previously proved them, it's fair game to use them.) • p q =~pv q (pq) = p^~q
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