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: 4

Answer

a. There exists at least one dog which is not friendly. b. There exists at least one person which is not happy. c. No suspicions were substantiated/ All suspicions were unsubstantiated d. No estimates were accurate/ All estimates were inaccurate

Work Step by Step

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