Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 3 - The Logic of Quantified Statements - Exercise Set 3.2 - Page 116: 11

Answer

The proposed negation is wrong. Correct Negation: There exists a pair of irrational numbers (x, y) such that its sum x+y is rational

Work Step by Step

Negation of the statements of the form, "For all (x,y), q", q being a statement, is "There exists (x,y), ~q".
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