2. Suppose that instead of proving the claim "there is no integer n such that n= 2 mod 6 and n7 mod 9," we instead wanted to prove the similar claim that "there is no integer n such that n2 mod 6 and n8 mod 9." Make the appropriate adjustments to the tutorial proof and determine whether the adjusted proof by contradiction can prove the claim to be true. a. The adjusted proof works, and thus the new claim is true. b. The adjusted proof does not work, but the new claim is still true. e. The adjusted proof does not work, and the new claim is now false.
2. Suppose that instead of proving the claim "there is no integer n such that n= 2 mod 6 and n7 mod 9," we instead wanted to prove the similar claim that "there is no integer n such that n2 mod 6 and n8 mod 9." Make the appropriate adjustments to the tutorial proof and determine whether the adjusted proof by contradiction can prove the claim to be true. a. The adjusted proof works, and thus the new claim is true. b. The adjusted proof does not work, but the new claim is still true. e. The adjusted proof does not work, and the new claim is now false.
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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Transcribed Image Text:4ll Ell b ® O
OD D11:03
2. Suppose that instead of proving the claim "there is no integer n such that n = 2 mod 6 and
n=7 mod 9," we instead wanted to prove the similar claim that "there is no integer n such that
n = 2 mod 6 and n = 8 mod 9." Make the appropriate adjustments to the tutorial proof and
determine whether the adjusted proof by contradiction can prove the claim to be true.
a. The adjusted proof works, and thus the new claim is true.
b. The adjusted proof does not work, but the new claim is still true.
c. The adjusted proof does not work, and the new claim is now false.
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