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KCET2015MathematicsDefinite Integration

The solution set of the inequation ( x²+6 x-7 |x+4| < 0 ) is

Options

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

Correct answer

C. ((-7,-4) (-4,1) )

Step-by-step solution

Given that x²+6 x-7 |x+4| < 0 So, x 4 Then, x²+6 x-7 < 0 (x+7)(x-1) < 0-7 < x < 1 Therefore, solutions is (-7,-4) (-4,1)

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