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: 26

Answer

a) You get an A in this course if and only if you learn how to solve discrete mathematics problems. b) You will be informed if and only if you read the newspaper every day. c) It is a weekend day if and only if it rains. d) You can see the wizard if and only if he is not in.

Work Step by Step

To solve this problem, substitute one phrase as $p$ and the other $q$. Create the basic "p if and only if q structure using this representation and then replace the phrases to create the sentence in English. The replacements are: a) p - you get an A in this course q - you learn how to solve discrete mathematics problems b) q - you read the newspaper every day p - you are informed c) p - it rains q - it is a weekend day d) p - you can see the wizard q - he is not in
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