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Answer the following: Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function [x2]+[x3]=5x6 - Mathematics and Statistics

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Question

Answer the following:

Solve the following for x, where |x| is modulus function, [x] is greatest interger function, {x} is a fractional part function

`[x/2] + [x/3] = (5x)/6`

Sum

Solution

`[x/2] + [x/3] = (5x)/6`

L.H.S. = an integer

∴ R.H.S. = an integer

∴ x = 6k, where k is an integer

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Algebra of Functions
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Chapter 6: Functions - Miscellaneous Exercise 6.2 [Page 131]

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Balbharati Mathematics and Statistics 2 (Arts and Science) [English] 11 Standard Maharashtra State Board
Chapter 6 Functions
Miscellaneous Exercise 6.2 | Q II. (39) (h) | Page 131

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