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: 12

Answer

Florida is not a peninsula, or California is not a peninsula.

Work Step by Step

It is not true that Florida and California are both peninsulas. Let p and q represent the following statements: p: Florida is a peninsula. q: California is a peninsula. The statement is of the form ~(p ∧ q). An equivalent statement is ∼p v ∼q Therefore, the given statement is equivalent to: Florida is not a peninsula, or California is not a peninsula.
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