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...

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

Extracted 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=""><>

Jun 03, 2022

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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...

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