Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.2 Compound Statements and Connectives - Exercise Set 3.2: 85

Answer

r ↔ ~(p ᴧ q)

Work Step by Step

Let p. q and r represent the three simple statements obtained by breaking down the given complex statement. Thus, p: I like the teacher. q: The course is interesting. r: I miss the class. I miss class if and only if it’s not true that I both like the teacher and the course is interesting. The symbolic representation is: ~(p ᴧ q): it’s not true that both I like the teacher and the course is interesting. r ↔ ~(p ᴧ q): I miss class if and only if it’s not true that I both like the teacher and the course is interesting.
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