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: 13

Answer

My high school did not encourage creativity, or it did not encourage diversity.

Work Step by Step

It is not the case that my high school encouraged creativity and diversity. Let p and q represent the following statements: p: My high school encouraged creativity. q: My high school encouraged diversity. The statement is of the form ~(p ∧ q). An equivalent statement is ∼p v ∼q. Therefore, the given statement is equivalent to: My high school did not encourage creativity, or it did not encourage diversity.
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