For which real numbers x and y is it true that ⌈x +y⌉ = ⌈ x⌉ +⌊ y ⌋
In this problem we need to show that
is true for all real numbers x and y.
NOTE: The symbols for floor and ceiling are like the square brackets [ ] with the top or bottom part missing.
Given: x and y are real numbers.
Let us consider , and where a , b are integers and are real numbers such that .
, since a , b are integers.
Textbook: Discrete Mathematics and Its Applications
Author: Kenneth Rosen
This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. The answer to “For which real numbers x and y is it true that ?x +y? = ? x? +? y ?” is broken down into a number of easy to follow steps, and 19 words. The full step-by-step solution to problem: 21E from chapter: 2.SE was answered by , our top Math solution expert on 06/21/17, 07:45AM. This full solution covers the following key subjects: Numbers, real, true. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. Since the solution to 21E from 2.SE chapter was answered, more than 297 students have viewed the full step-by-step answer.