×
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 2.se - Problem 23e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 2.se - Problem 23e

×

# Prove that if m is an integer, then ?x? +?m ? x? = m ?

ISBN: 9780073383095 37

## Solution for problem 23E Chapter 2.SE

Discrete Mathematics and Its Applications | 7th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Discrete Mathematics and Its Applications | 7th Edition

4 5 1 293 Reviews
23
4
Problem 23E

Problem 23E

Prove that if m is an integer, then ⌊x⌋ +⌊m − x⌋ = m − 1unless x is an integer, in which case, it equals m.

Step-by-Step Solution:

Solution:

Step 1:

In this problem we need to prove that if m is an integer , then

unless  x is an integer , in which case , it equals to m.

 NOTE: The symbols for floor and ceiling are like the square brackets [ ] with the top or bottom part missing.                                              Example :                     Example : {2.3} = 0.3

Case(1): If x is not an integer , then

.

Therefore , if x is not an integer then

Step 2 of 2

##### ISBN: 9780073383095

The answer to “Prove that if m is an integer, then ?x? +?m ? x? = m ? 1unless x is an integer, in which case, it equals m.” is broken down into a number of easy to follow steps, and 26 words. This full solution covers the following key subjects: Integer, Case, equals, prove, unless. 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. The full step-by-step solution to problem: 23E from chapter: 2.SE was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 23E from 2.SE chapter was answered, more than 420 students have viewed the full step-by-step answer.

#### Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Prove that if m is an integer, then ?x? +?m ? x? = m ?