Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - Chapter Summary, Review, and Test - Review Exercises - Page 207: 17

Answer

The negation of provided statement is some taxes are not for education.

Work Step by Step

Let’s us begin with the speaker statement: “All new taxes are for education.” Because the speaker was not telling the truth, it can be concluded that the truth is the negation of provided statement. The negation of “All A are B” is “Some A are not B.” Now, let the provided statement is \[p\]. So, its negation will be represented by\[\sim p\]. Therefore, \[\sim p\]: Some taxes are not for education.
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