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: 87

Answer

p: I like the teacher. q: The course is interesting. r: I miss the class. (p → ~r) ↔ q

Work Step by Step

p: I like the teacher. q: The course is interesting. r: I miss the class. If I like the teacher, I do not miss class if and only if the course is interesting. The symbolic representation is: (p → ~r): If I like the teacher, I do not miss class. (p → ~r) ↔ q: If I like the teacher, I do not miss class if and only if the course is interesting.
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