Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.6 Negations of Conditional Statements and De Morgan's Law - Exercise Set 3.6: 17

Answer

The United States has eradicated neither poverty nor racism.

Work Step by Step

It is not the case that the United States has eradicated poverty or racism. Let p and q represent the following statements: p: The United States has eradicated poverty. q: The United States has eradicated racism. The statement is of the form ~(p v q). An equivalent statement is ∼p ∧ ∼q. Therefore, the given statement is equivalent to: The United States has eradicated neither poverty nor racism.
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.