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Closure Property of Integers

20. Solve: 2[...

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20. Solve: 2[x]= 4{x}+x where [ ]represents greater integer function and { }represents fractional part of x

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2 [x] = {4} + x

, where [ ] represents greatest integer function and { } represents fractional part function, for possible values of x

Q. Find the solutions of

4 {x} = x + [x]

{.}, [.]

represents fractional part and greatest integer function.

Q. 2[x] = 4{x} + x , where [ ] represents greatest integer function and { } represents fractional part function.

Find the number of solutions for $4 {x} = x + [x]$ , where ${.}$ , [.] represents fractional part and greatest integer function.

Q. Which of the following is/are correct regarding

4 {x} = x + [x]

?
(where {.} represents fractional part function and [.] represents greatest integer function)

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