Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 3 - The Logic of Quantified Statements - Exercise Set 3.2 - Page 117: 42

Answer

If a person does not pass a comprehensive exam, then the person will not obtain a master's degree.

Work Step by Step

Recall the definition of necessary: "$\forall x$, r(x) is a necessary condition for s(x)" means "$\forall x$, if ~r(x) then ~s(x)."
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