Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 3 - The Logic of Quantified Statements - Exercise Set 3.1 - Page 106: 4

Answer

a. Q(2): 4 $\leq$ 30 is true. Q(-2): 4 $\leq$ 30 is true. Q(7): 49 $\leq$ 30 is false. Q(-7): 49 $\leq$ 30 is false. b. If the domain of Q(n) is the set of all integers, then its truth set is {−5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5}. c. If the domain of Q(n) is the set of all positive integers, then its truth set is {1, 2, 3, 4, 5}.

Work Step by Step

The truth set for P(x) with domain D is the set of all elements in D for which P(x) is true.
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.