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: 22


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).
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.