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: 16

Answer

The truth table values for $𝒑∨(𝒑∧𝒒)$ and $𝒑$ are equivalent; therefore, the two statement forms are logically equivalent.
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Work Step by Step

Form a truth table that contains both statement forms. If the columns in which they appear have identical truth values (both T or both F in each row), then the statement forms are logically equivalent.
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