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: 21

Answer

a. The total degree of G is even, for any graph G. b. The base angles of T are equal, for any isosceles triangle t. c. $p$ is even for some prime number p. d. $f$ is not differentiable for some continuous function $f$.

Work Step by Step

To make a trailing quantifier, take the phrase the immediately follows the quantifier and along with the quantifier place it at the end of the sentence.
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