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 3.1 - Page 107: 24

Answer

a. $\exists$ a hatter x, such that x is mad. $\exists x$ such that x is a hatter and x is mad. b. $\exists$ a question x, such that x is easy. $\exists x$ such that x is a question and x is easy.

Work Step by Step

A statement of the form "$\exists x$ such that P(x) and Q(x)" can be rewritten as "$\exists x \in D$ such that Q(x)," where $D$ is the set of all x for which P(x) is true.
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