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: 90

Answer

(~p ᴧ r) → (~q v s)

Work Step by Step

p: The lines go down. q: The transformer blows. r: We have power. s: There is an increased cost of electricity. If the lines do not go down and we have power, then the transformer does not blow, or there is an increase in the cost of electricity. The symbolic representation is: (~p ᴧ r): The lines do not go down, and we have power. (~q v s): The transformer does not blow, or there is an increase in the cost of electricity. (~p ᴧ r) → (~q v s): If the lines do not go down and we have power, then the transformer does not blow, or there is an increase in the cost of electricity.
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