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If we want to prove by contradiction the statement: For any positive real number x there exists a natural numbern such that the product nx > 1, what should we assume? there exists a positive æ E R such that for any n E N, nx < 1. there exist positive x E R and n E N such that nx < 1. O for any positive x E R there exists n E N such that nx < 1. O there exists a positive x E R such that for any n E N, nx < 1.

If we want to prove by contradiction the statement: For any positive real number x there exists a natural numbern such that the product nx > 1, what should we assume? there exists a positive æ E R such that for any n E N, nx < 1. there exist positive x E R and n E N such that nx < 1. O for any positive x E R there exists n E N such that nx < 1. O there exists a positive x E R such that for any n E N, nx < 1.

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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If we want to prove by contradiction the statement: For any positive real number x there exists a natural number n such that the product nx > 1, what should we assume? O there exists a positive x E R such that for any n E N, nx < 1. there exist positive x E R and n E N such that næ < 1. for any positive x E R there exists n ENsuch that nx < 1. there exists a positive E R such that for any n E N, nx <1.
Transcribed Image Text:If we want to prove by contradiction the statement: For any positive real number x there exists a natural number n such that the product nx > 1, what should we assume? O there exists a positive x E R such that for any n E N, nx < 1. there exist positive x E R and n E N such that næ < 1. for any positive x E R there exists n ENsuch that nx < 1. there exists a positive E R such that for any n E N, nx <1.
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