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Show that if x is a real number, then

ISBN: 9780073383095 37

Solution for problem 49E Chapter 2.3

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition

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Problem 49E

Show that if $$x$$ is a real number, then $$x-1<\lfloor x\rfloor \leq x \leq$$ $$\lceil x\rceil<x+1$$.

Equation Transcription:

Text Transcription:

x

x−1<⌊x⌋ < or =x  < or = ⌈x⌉<x+1

Step-by-Step Solution:

Solution:

Step 1:

In this problem we need to show that

, where x is a real number.

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

Step 2 of 3

Step 3 of 3

ISBN: 9780073383095

This full solution covers the following key subjects: real, show. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The full step-by-step solution to problem: 49E from chapter: 2.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. Since the solution to 49E from 2.3 chapter was answered, more than 437 students have viewed the full step-by-step answer. The answer to “?Show that if $$x$$ is a real number, then $$x-1<\lfloor x\rfloor \leq x \leq$$ $$\lceil x\rceil<x+1$$.Equation Transcription: Text Transcription:x x?1<?x? < or =x < or = ?x?<x+1” is broken down into a number of easy to follow steps, and 27 words. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7.

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Show that if x is a real number, then