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 2.3 - Page 63: 40

Answer

Muscles Killed Sharky

Work Step by Step

Socko and Muscles have contradictory statements, therefore one of them must be telling the truth. This means Fats and Lefty’s statements have to be lies. Fats claims muscles didn’t kill sharky, but we know this is a lie so muscles must have killed sharky. We can check this by looking at muscles’ statement that lefty didn’t kill sharky, which must be the true statement. Socko’s statement being a lie checks out, as lefty did not kill sharky. And lefty’s statement being a lie checks out too, as if muscles was off with socko during the killing, he could not have been the killer.
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.