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: 79

Answer

If we do not go to the beach, then it is not true that both the temperature is above 85° and we have finished studying.

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 → ~(p ∧ p) ~(p ∧ p): It is not true that both the temperature is above 85° and we have finished studying. ~r → ~(p ∧ p): If we do not go to the beach, then it is not true that both the temperature is above 85° and we have finished studying.
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