(5) Consider the statement: for every positive rational number a E Q, there exists a positive rational number be Q such that ab = 1. (a) Write down the negation of the boldface statement. (The boldface statement contains English words, so should your answer.) (b) Determine the truth value of the boldface statement. (Justify your answer.)
(5) Consider the statement: for every positive rational number a E Q, there exists a positive rational number be Q such that ab = 1. (a) Write down the negation of the boldface statement. (The boldface statement contains English words, so should your answer.) (b) Determine the truth value of the boldface statement. (Justify your answer.)
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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Transcribed Image Text:(5) Consider the statement: for every positive rational number a E Q, there exists
a positive rational number be Q such that ab = 1.
(a) Write down the negation of the boldface statement. (The boldface statement
contains English words, so should your answer.)
(b) Determine the truth value of the boldface statement. (Justify your answer.)
Expert Solution

Step 1
5 (a) Negation of "for every positive rational number a ,there exists a positive rational number b such that ab=1 " is " there exists positive rational number a,such that there doesn't exist any positive rational number b such that ab=1".
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