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AP EAMCET201823 Apr 2018Evening ShiftMathematicsFunctionsActual

If [x] denotes the greatest integer not exceeding x , then the values of x satisfying [x]^2-7[x]+12 0 are

Options

  1. A1 x < 4
  2. B3 x < 5
  3. C-5 < x -3
  4. D2 x 4

Correct answer

B. 3 x < 5

Step-by-step solution

aligned & Given equation, & [x]^2-7[x]+12 0 & [x]^2-4[x]-3[x]+12 0 & ([x]-4)([x]-3) 0 [x] [3,4] & x [3,5) . aligned

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