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

Answer

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 $n\leq x$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.