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?

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
Problem 14OE
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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?
Transcribed Image Text: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?
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