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 134: 102

Answer

The given compound statement can be written in simple statements as \[p,\text{ }q,\text{ and }r\]. Here, \[p,\text{ }q,\text{ and }r\] represents three simple statement`s. p: My doctor told me I had only six minutes to live. q: I would brood. \[r\]: I would type a little faster. Use the representation to re-write the statement as: If p, not q and r. ‘If-then’ is represented by the symbol ‘\[\to \]’, ‘And’ is represented by the symbol ‘\[\wedge \]’, and ‘Not’ is represented by the symbol ‘\[\tilde{\ }\]’. Use the symbols to write the compound statement in symbolic form as: \[p\to \left( \tilde{\ }q\wedge r \right)\]
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