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: 75

Answer

We go to the beach if and only if the temperature is above 85°, and we 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 ᴧ q By grouping in parenthesis based on the order of dominance, we find: r ↔ (p ᴧ q) (p ᴧ q) : the temperature is above 85°, and we finished studying. r ↔ (p ᴧ q): We go to the beach if and only if the temperature is above 85°, and we finished studying.
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