2.21. Consider the sentence "For every integer n > 0 there is some real number x > 0 such that x < 1/n". Without using words of negation, write a complete sentence that means the same as "It is false that for every integer n > 0 there is some real number x > 0 such that x < 1/n". Which sentence is true?

2.21. Consider the sentence "For every integer n > 0 there is some real number x > 0 such that x < 1/n". Without using words of negation, write a complete sentence that means the same as "It is false that for every integer n > 0 there is some real number x > 0 such that x < 1/n". Which sentence is true?

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter2: The Integers

Section2.2: Mathematical Induction

Problem 49E: Show that if the statement is assumed to be true for , then it can be proved to be true for . Is...

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