Answer
False.
Work Step by Step
False.
Counter example: let $x=1.1, y=-1.1$, we have
$LHS=\lfloor 1.1+1.1\rfloor =\lfloor 2.2\rfloor =2$
$RHS=\lfloor 1.1\rfloor - \lfloor -1.1\rfloor=1-(-2)=3\ne LHS$
Discrete Mathematics with Applications 4th Edition
by Epp, Susanna S.
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: 14
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