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: 9

Answer

~q ∧ r

Work Step by Step

~q → ~r As we know, the negation of p → q is p ∧ ∼q. Therefore, the negation of the statement is: ~q ∧ ∼(~r). We can also write this as ~q ∧ r because ~(~r) is the same as r.
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