Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.5 Equivalent Statements and Variations of Conditional Statements - Exercise Set 3.5 - Page 170: 4

Answer

The provided statements are not equivalent

Work Step by Step

Determine the truth table for \[\sim p\to q\] and \[p\to \sim q\] as shown below, It can be seen from the truth table that the values of \[\sim p\to q\] and \[p\to \sim q\]are not same therefore, \[\sim p\to q\] and \[p\to \sim q\] are not equivalent.
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