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MHT CET202411 May 2024Morning ShiftMathematicsFunctionsActual

If [x]^2-5[x]+6=0 , where [x] denotes the greatest integer function, then

Options

  1. Ax [2,3)
  2. Bx [2,3]
  3. Cx [2,4]
  4. Dx [2,4)

Correct answer

D. x [2,4)

Step-by-step solution

Given: aligned & [x]^2-5[x]+6=0 & Let [x]= a & a ^2-5 a +6=0 & ( a -2)( a -3)=0 & a =2 or a =3 & [x]=2 or [x]=3 & x [2,3) or x [3,4) & x [2,4) aligned

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