Prove that for all real numbers r, if x is not aninteger, then [r – 1] = [x] – 2.

We have to prove x−1=x−2 for all real number x, if x is not an integer. Use definition:- x is the…

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Prove that for all real numbers x, if x is not an integer, then [r – 1] = [x] – 2.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter3: Groups

Section3.2: Properties Of Group Elements

Problem 31E: 31. Prove statement of Theorem : for all integers and .

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Prove that for all real numbers r, if x is not an
integer, then [r – 1] = [x] – 2.

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