Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.1 - Propositional Logic - Exercises - Page 15: 39

Answer

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Work Step by Step

$(p \leftrightarrow q) \leftrightarrow(r \leftrightarrow s)$ \begin{array}{c|c|c|c|c|c|c |c} p & q & r &s& p \leftrightarrow q &r \leftrightarrow s& (p \leftrightarrow q) \leftrightarrow(r \leftrightarrow s)\\ T & T & T & T& T & T&T\\ T & T & T & F& T& F&F\\ T & T & F & T& T& F&F\\ T & T & F & F& T&T &T\\ T & F & T & T& F& T&F\\ T & F & T & F& F& F&T\\ T & F & F & T& F& F&T\\ T & F & F & F& F& T&F\\ F & T & T & T& F &T&F\\ F & T & T & F& F&F&T\\ F & T & F & T& F&F&T\\ F & T & F & F& F &T&F\\ F & F & T & T& T&T&T\\ F & F & T & F& T&F&F\\ F & F & F & T& T&F&F\\ F & F & F & F& T&T&T \end{array}
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