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 - Page 133: 88

Answer

(p → ~r) ↔ q

Work Step by Step

p: The lines go down. q: The transformer blows. r: We have power. If the lines go down, we do not have power if and only if the transformer blows. The symbolic representation is: (p → ~r): If the lines go down, we do not have power. (p → ~r) ↔ q: If the lines go down, we do not have power if and only if the transformer blows.
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