Math, asked by Princetrivedi4487, 4 months ago

36. [3x-4)=5, where [.) is a greatest integer function. Then
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Answers

Answered by kuhelihazra63041
0

Step-by-step explanation:

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Answered by halamadrid
0

x ∈ [3, 3.3].

Given:

⌊3x-4⌋=5, where ⌊.⌋ is the greatest integer function.

To Find:

The value of 'x'.

Solution:

Let us understand the concept of the greatest integer function.

The greatest integer function, denoted by ⌊.⌋, gives us the value of the greatest integer nearest to and less than the number.

We have been given

⌊3x-4⌋=5

This means that the value of the integer that is less than 3x-4 and nearest to it is 5. Hence 3x-4 can take values between 5 and 5.9 because the greatest integer for numbers from 5 to 5.9 is 5.

So,

5 ≤ 3x-4 ≤ 5.9

⇒ 9 ≤ 3x ≤ 9.9

⇒ 3 ≤ x ≤ 3.3.

Hence, x can take any values between 3 and 3.3 for ⌊3x-4⌋=5.

x ∈ [3, 3.3].

#SPJ2

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