Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 3 - Logic - 3.3 Truth Tables for Negation, Conjunction and Disjunction - Exercise Set 3.3 - Page 150: 94

Answer

“Individual results will vary” shows surety as true hence tautology but “Individual results may vary” does not show surety as true hence negation.

Work Step by Step

The statement “Individual results will vary” shows the surety of truth value as true, but the statement “Individual results may vary” does not show the surety of truth value as true. Hence, the statement “Individual results will vary” is a tautology and the statement, “Individual results may vary” negates the advertised products’ effectiveness. Example: The universal truth statement is a tautology because, it always givesthe truth value as true.
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