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MHT CET202014 Oct 2020Morning ShiftMathematicsFunctionsActual

If f(x)=[x]²-5[x]+6=0 , where [x] denotes greatest integer function then x

Options

  1. A(2,4]
  2. B[2,4]
  3. C[2,4)
  4. D(2,4)

Correct answer

C. [2,4)

Step-by-step solution

We have, [x]²-5[x]+6=0 ([x]-3)([x]-2)=0 [x]=2,3 For [x]=2, x [2,3) and for [x]=3, x [3,4) x [2,4)

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