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: 19

Answer

(b), (d), (e)

Work Step by Step

Alternate ways to express the symbol $\forall$ are: for all, for every, for any, for each, for arbitrary, given any. The given statement is a universal conditional statement. (a), (c), and (f) either do not express a conditional statement or use the existential quantifier. Hence (a), (c), and (f) are not equivalent statements to the given statement.
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