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 - Page 178: 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.
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