Discrete Mathematics with Applications 4th Edition

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

Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.5 - Page 197: 11


For any real number $x$, that $x$ is an integer is a necessary and sufficient condition for $floor(x)=x$. (In other words, $floor(x)=x$ if and only if $x$ is an integer.)

Work Step by Step

By definition, $floor(x)=n$ means that $n$ is the unique integer that makes the inequality $n\leq x$
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