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: 77

Answer

The temperature is above 85° if and only if we have finished studying, and we go to the beach.

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. (p ↔ q) ᴧ r (p ↔ q) : The temperature is above 85° if and only if we have finished studying. (p ↔ q) ᴧ r: The temperature is above 85° if and only if we have finished studying, and we go to the beach.
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