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 3.2 - Page 116: 24

Answer

a. If a person is a child in Tom’s family, then the person is female. If a person is a female in Tom’s family, then the person is a child. The second statement is the converse of the first. b. $\forall$ integers x that are greater than 5, if x ends in 1, 3, 7, or 9, then x is prime. $\forall$ integers x that are greater than 5, if x is prime, then x ends in 1, 3, 7, or 9. The second statement is the converse of the first.

Work Step by Step

Recall that if an original statement has the form: $\forall x \in D$, if P(x) then Q(x), then it's converse statement is: $\forall x \in D$, if Q(x) then P(x).
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.