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: 5

Answer

a. There exists a valid argument that has false conclusion. b. There exists a real number that is not positive, not negative, and not zero.

Work Step by Step

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