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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality (12.5*x*x/(4-x*x)-3*x*x+2)/(25*x/(4-x*x)-5*x) >(25*x*x*x*x/(4*(4-x*x)*(4-x*x))+(22*x*x+3*x*x/4+4)/(4-x*x)+2.5*x)/((-10*x*(1-5/(4-x*x)))/(4-x*x)) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 12.5 * x * x / ( 4 - x * x ) - 3 * x * x + 2 ) / ( 25 * x / ( 4 - x * x ) - 5 * x ) > ( 25 * x * x * x * x / ( 4 * ( 4 - x * x ) * ( 4 - x * x ) ) + ( 22 * x * x + 3 * x * x / 4 + 4 ) / ( 4 - x * x ) + 2.5 * x ) / ( ( -10 * x * ( 1 - 5 / ( 4 - x * x ) ) ) / ( 4 - x * x ) )         (1)
        From the definition field of divisor
         4 - x * x ≠ 0        (2 )
        From the definition field of divisor
         4 - x * x ≠ 0        (3 )
        From the definition field of divisor
         25 * x / ( 4 - x * x ) - 5 * x ≠ 0        (4 )
        From the definition field of divisor
         4 * ( 4 - x * x ) * ( 4 - x * x ) ≠ 0        (5 )
        From the definition field of divisor
         4 - x * x ≠ 0        (6 )
        From the definition field of divisor
         4 - x * x ≠ 0        (7 )
        From the definition field of divisor
         4 - x * x ≠ 0        (8 )
        From the definition field of divisor
         ( -10 * x * ( 1 - 5 / ( 4 - x * x ) ) ) / ( 4 - x * x ) ≠ 0        (9 )

    From inequality(1):
         -2 < x < -0.424429 或  2 < x < 9.424429
    From inequality(2):
         x < -2 或  -2 < x < 2 或  x > 2
    From inequality(3):
         x < -2 或  -2 < x < 2 或  x > 2
    From inequality(4):
         x < -2 或  -2 < x < 0 或  0 < x < 2 或  x > 2
    From inequality(5):
         x < -2 或  -2 < x < 2 或  x > 2
    From inequality(6):
         x < -2 或  -2 < x < 2 或  x > 2
    From inequality(7):
         x < -2 或  -2 < x < 2 或  x > 2
    From inequality(8):
         x < -2 或  -2 < x < 2 或  x > 2
    From inequality(9):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         -2 < x < -2 或  -2 < x < -0.424429 或  x < -2 或  2 < x < 9.424429     (10)
    From inequalities (3) and (10)
         -2 < x < -2 或  -2 < x < -0.424429 或  2 < x < 9.424429     (11)
    From inequalities (4) and (11)
         -2 < x < -2 或  -2 < x < -0.424429 或  2 < x < 9.424429     (12)
    From inequalities (5) and (12)
         -2 < x < -2 或  -2 < x < -0.424429 或  2 < x < 2 或  2 < x < 9.424429     (13)
    From inequalities (6) and (13)
         -2 < x < -2 或  -2 < x < -0.424429 或  2 < x < 2 或  2 < x < 9.424429     (14)
    From inequalities (7) and (14)
         -2 < x < -2 或  -2 < x < -0.424429 或  2 < x < 2 或  2 < x < 9.424429     (15)
    From inequalities (8) and (15)
         -2 < x < -2 或  -2 < x < -0.424429 或  2 < x < 2 或  2 < x < 9.424429     (16)
    From inequalities (9) and (16)
         -2 < x < -2 或  -2 < x < -0.424429 或  2 < x < 2 或  2 < x < 9.424429     (17)

    The final solution set is :

         -2 < x < -2 或  -2 < x < -0.424429 或  2 < x < 2 或  2 < x < 9.424429




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