Thomas' Calculus 13th Edition

Published by Pearson
ISBN 10: 0-32187-896-5
ISBN 13: 978-0-32187-896-0

Chapter 1: Functions - Section 1.1 - Functions and Their Graphs - Exercises 1.1: 34

Answer

$\lfloor x \rfloor = \lceil x \rceil$ is true when $x\in N$ Note that in this case, the letter N denotes all integers.

Work Step by Step

$\lfloor x \rfloor = \lceil x \rceil$ is only true for integers. For any real number between two whole numbers, $\lfloor x \rfloor$ and $\lceil x \rceil$ can't be the same number.
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