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: 4


The TV is playing, and I can concentrate.

Work Step by Step

If the TV is playing, then I cannot concentrate. As we know, the negation of p → q is p ∧ ∼q. p: The TV is playing. q: I cannot concentrate. Therefore, the negation of the statement is: The TV is playing, and I can concentrate.
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