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# Prove that if m is an integer, then ?x? +?m ? x? = m ? ## Problem 23E Chapter 2.SE

Discrete Mathematics and Its Applications | 7th Edition

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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:
Step 1 of 3

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  ...

Step 2 of 3

Step 3 of 3

##### 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 241 students have viewed the full step-by-step answer.

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

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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