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Greatest Integer Function

If [x]=4, w...

Question

If $[x] = 4$ , where $[.]$ denotes greatest integer function, then it lies in the interval

(2, 3)

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[- 1, 2]

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[4, 5)

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[4, 5]

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Solution

The correct option is C $[4, 5)$
we know that
$x \leq [x] < x + 1$
$\Rightarrow 4 \leq [x] < 5$ $[∵ g i v e n [x] = 4]$

$∴ [x] = 4$ lies in the interval $[4, 5)$

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