Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.6 Negations of Conditional Statements and De Morgan's Law - Exercise Set 3.6 - Page 178: 3


It is purple, and it is a carrot.

Work Step by Step

If it is purple, then it is not a carrot. As we know, The negation of p → q is p ∧ ∼q. p: It is purple q: It is not a carrot. Therefore, the negation of the statement is: It is purple, and it is a carrot.
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