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Paragraph: If a x b then 1 a 1 x 1 ~b provided a & ~b are of same sign but if a and b are of opposite sign then 1 x (- , 1 a ] [ 1 ~b ,- ) . On the basis of above information, answer the following : Question: If x (-2,3] then 5 x+6 x belongs to -

Options

  1. A(2,7]
  2. B(- , 7]
  3. C[2, )
  4. D(- , 2) [7, )

Correct answer

D. (- , 2) [7, )

Step-by-step solution

aligned & -2 x 3 1 x - 1 2 or 1 x 1 3 & 6 x -3 6 x 2 & 5+ 6 x 2 5+ 6 x 7 & 5+ 6 x (- , 2) [7, ) aligned

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