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MHT CET202016 Oct 2020Evening ShiftMathematicsFunctionsActual

For f (x)=[x] , whe inction. which of the following is tru very x R

Options

  1. A[x]+1=x
  2. B[x]+1 x
  3. C[x]+1>x
  4. D[x]+1 < x

Correct answer

D. [x]+1 < x

Step-by-step solution

(B) [ x ] is the greatest integer function. This means, the greatest integer is less than or equal to x . If x is an integer, then [ x ]= x . If x is a non integer number, then [x] < x and 0 < x-[x] < 1 x < [x]+1

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