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: 3

Answer

a.) ∃ a fish x such that x does not have gills b.) ∃ a computer c such that c does not have CPU c.) ∀ movies x,m is no more than 6 hours long d.) ∀ bands b,b has won less than or equal to 9 Grammy awards.

Work Step by Step

The negation of " ∃ x, such that q", where q is a statement, is "∀ x, ~q". The negation of "∀ x, q", where q is a statement, is "∃ x, such that ~q"
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