Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 3 - Logic - 3.7 Arguments and Truth Tables - Exercise Set 3.7 - Page 192: 46

Answer

Let\[p\]be you exercise. Let\[q\]be you do not feel energized. The form of the premises is \[\begin{align} & \underline{\begin{align} & p\vee q \\ & \sim p \\ \end{align}}\ \ \ \ \ \underline{\begin{array}{*{35}{l}} \text{You exercise or you do not feel energized}\text{.} \\ \text{I do not exercise}\text{.} \\ \end{array}} \\ & \therefore \ ?\ \ \ \ \ \ \ \ \ \ \ \ \text{Therefore, } \\ \end{align}\] The conclusion \[q\] is valid because it forms the disjunctive reasoning of a valid argument when it follows the given premises. The conclusion can be\[q\] translated as you do not feel energized.Therefore, the valid conclusion from the provided premises is you do not feel energized.
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