If x- 6-8- then the value of -x2- is where - represents the greatest integer function

Name: JEE- Grade 11- Mathematics- Relations and Functions 5- Session 05- W19
Uploaded: 2022-07-04T10:36:42+05:30
Description: 6 lt;x lt;8 ⇒ 3 lt; x2 lt;4 ⇒[ x2]=3 ...

6 lt;x lt;8 ⇒ 3 lt; x2 lt;4 ⇒[ x2]=3 ...

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Byju's Answer

Standard XII

Mathematics

Greatest Integer Function

If x∈ 6,8, th...

Question

If $x \in (6, 8),$ then the value of $[\frac{x}{2}]$ is
(where $[.]$ represents the greatest integer function)

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Solution

$6 < x < 8$
$\Rightarrow 3 < \frac{x}{2} < 4 \Rightarrow [\frac{x}{2}] = 3$

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