Discrete Mathematics with Applications 4th Edition

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

Chapter 2 - The Logic of Compound Statements - Exercise Set 2.1 - Page 37: 4

Answer

If $p$, then $q$. If $q$, then $r$. Therefore, if $p$, then $r$. If this function is a polynomial, then this function is diffrentiable. If this function is differentiable, then this function is continuous. Therefore, if this function is a polynomial, then this function is continuous.

Work Step by Step

Replace each complete idea (i.e., an idea that can be expressed as a complete, independent sentence) as a single letter (here, $p$, $q$, or $r$). Fill in the blanks in the example argument based on where you put the letters $p$, $q$, and $r$ by examining the first argument.
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