Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.2 Compound Statements and Connectives - Exercise Set 3.2: 73

Answer

If we do not go to the beach, then we did not finish studying or the temperature is above 85°.

Work Step by Step

p: The temperature is above 85°. q: We finished studying. r: We go to the beach. We write each symbolic statement in words and order based on dominance. (~r → ~q) v p By grouping it in parenthesis based on the order of dominance, we find: (~r → ~q): If we do not go to the beach, then we did not finish studying. (~r → ~q) v p: If we do not go to the beach, then we did not finish studying or the temperature is above 85°.
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