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: 8


Informal negation: There is at least one simple solution to life's problems. The original statement written formally with quantifiers: $\forall$ simple solutions x, x does not solve life's problems. Formal negation: $\exists$ a simple solution x, such that x solves life's problems.

Work Step by Step

The negation of a statement of the form: $\forall x \in D$, Q(x) is: $\exists x \in D$ such that ~Q(x).
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