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Question

For any real number x, & k is an integer, if k<x<k+1, then [−x]=

A
k
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B
k+1
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C
k1
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Solution

The correct option is C k1
Given: x to be any real number and k be any integer.
Also, k<x<k+1
To find: [x]
Multiplying each side of the inequality k<x<k+1 by 1, we get:
k>x>k1
Or k1<x<k
x will lie between the interval (k1,k)
[x]=k1

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