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 37: 19

Answer

The columns containing the statement forms 𝒑∧𝒕 and 𝒑 have the same truth values, hence 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). Don't forgot, t (tautology) has all truth values
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.

GradeSaver will pay $15 for your literature essays
GradeSaver will pay $25 for your college application essays
GradeSaver will pay $50 for your graduate school essays – Law, Business, or Medical
GradeSaver will pay $10 for your Community Note contributions
GradeSaver will pay $500 for your Textbook Answer contributions