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: 86

Answer

p: The lines go down. q: The transformer blows. r: We have power. r ↔ ~(p ᴧ q)

Work Step by Step

p: The lines go down. q: The transformer blows. r: We have power. We have power if and only if it’s not true that both the lines go down and the transformer blows. The symbolic representation is: ~(p ᴧ q): It’s not true that both the lines go down and the transformer blows. r ↔ ~(p ᴧ q) : We have power if and only if it’s not true that both the lines go down and the transformer blows.
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