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: 20


~p ∧ q

Work Step by Step

~(p v ~q) The statement is of the form ~(p v q). An equivalent statement is ∼p ∧ ∼q. Therefore, the given statement is equivalent to: ~p ∧ ~(~q) As we know, ~(~q) = q. Therefore, we find: ~p ∧ q
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