Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 2 - The Logic of Compound Statements - Exercise Set 2.1 - Page 38: 22

Answer

The columns containing the statement forms 𝒑∧(𝒒∨𝒓) and (𝒑∧𝒒)∨(𝒑∧𝒓) have identical truth values; therefore, they are logically equivalent.

Work Step by Step

Construct a truth table containing the two statement forms in question, and see whether the two statement forms have the same truth value in each row (i.e., for each truth value combination of the statement variables).
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