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(3) Consider the statement "If ged(x, 20) = 1, then gcd(x, 2) = 1 or gcd(x, 5) = 1." In English (not using logical symbols), write down the statement's contrapositive and then write down the statement's negation. In the negation, you may not use "if", "then", "implies" or similar words.

(3) Consider the statement "If ged(x, 20) = 1, then gcd(x, 2) = 1 or gcd(x, 5) = 1." In English (not using logical symbols), write down the statement's contrapositive and then write down the statement's negation. In the negation, you may not use "if", "then", "implies" or similar words.

Advanced Engineering Mathematics
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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(3) Consider the statement "If ged(x, 20) = 1, then gcd(x, 2) = 1 or gcd(x, 5) = 1." In English (not using logical symbols), write down the statement's contrapositive and then write down the statement's negation. In the negation, you may not use "if", "then", "implies" or similar words.
Transcribed Image Text:(3) Consider the statement "If ged(x, 20) = 1, then gcd(x, 2) = 1 or gcd(x, 5) = 1." In English (not using logical symbols), write down the statement's contrapositive and then write down the statement's negation. In the negation, you may not use "if", "then", "implies" or similar words.
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