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: 104

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 statements. p: You do like what you are doing. q: You can always pick up your needle. \[r\]: You can move to another groove. Use the representation to re-write the statement as: If not p, 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: \[\tilde{\ }p\to \left( q\wedge r \right)\]
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.