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Properties of Integers Using Literals

[x+[x]]is les...

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[x+[x]]is less than equal to 2 Then x belongs to

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| x - 1 | \leq 2

then, the value of x is more than equal to and less than equal to .

[x] =

the greatest integer less than or equal to

x

(x) =

the least integer greater than or equal to

x

[x]^{2} + (x)^{2} > 25

x

[x] =

the greatest integer less than or equal to

x,

(x) =

the least integer greater than or equal to

x,

[x]^{2} + (x)^{2} > 25

x

Q. The function

f (x) = \frac{{sec}^{- 1} x}{\sqrt{x - [x]}}

[x]

denotes greatest integer function less than or equal to

x

x

Q. The real valued function

f (x) = \frac{{cosec}^{- 1} x}{\sqrt{x - [x]}},

[x]

denotes the greatest integer less than or equal to

x

, is defined for all

x

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Properties of Integers Using Literals

Standard VII Mathematics

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