Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 3 - Logic - 3.4 Truth Tables for the Conditional and the Biconditional - Exercise Set 3.4 - Page 160: 63

Answer

(a) The provided compound statement can be written in simple statements as\[p,q,r\]. Here, \[p,q,r\]represents two simple statements: \[p:\] I enjoy the class. \[q:\] I choose the class based on the professor \[r:\] I choose the class based on the course description. Therefore, the provided compound statement can be written in the symbolic form as: \[p\leftrightarrow \left( q\wedge \sim r \right)\] (b) The truth table is as follows: c) So, from the truth table, it can be stated that when the component of provided compound statement\[\left( p\leftrightarrow q \right)\vee \sim r\], has different truth value then only resultant statement is false. Therefore, the statement is true when p, q, and r are all false.
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.