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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) >(((3/8)*x*x*x/(4-x*x))+2.5*x/(4-x*x)+x*x/4-9*x/40+0.25+2/5x)/(5/(4-x*x)-1) .
    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 ) > ( ( ( 3 / 8 ) * x * x * x / ( 4 - x * x ) ) + 2.5 * x / ( 4 - x * x ) + x * x / 4 - 9 * x / 40 + 0.25 + 2 / 5 * x ) / ( 5 / ( 4 - x * x ) - 1 )         (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 - 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
         5 / ( 4 - x * x ) - 1 ≠ 0        (8 )

    From inequality(1):
         x < -1 或  0 < x < 0.53343 或  x > 2.339356
    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 inequalities (1) and (2)
         x < -2 或  -2 < x < -1 或  0 < x < 0.53343 或  x > 2.339356    (9)
    From inequalities (3) and (9)
         x < -2 或  -2 < x < -1 或  0 < x < 0.53343 或  x > 2.339356    (10)
    From inequalities (4) and (10)
         x < -2 或  -2 < x < -1 或  0 < x < 0.53343 或  x > 2.339356    (11)
    From inequalities (5) and (11)
         x < -2 或  -2 < x < -1 或  0 < x < 0.53343 或  x > 2.339356    (12)
    From inequalities (6) and (12)
         x < -2 或  -2 < x < -1 或  0 < x < 0.53343 或  x > 2.339356    (13)
    From inequalities (7) and (13)
         x < -2 或  -2 < x < -1 或  0 < x < 0.53343 或  x > 2.339356    (14)
    From inequalities (8) and (14)
         x < -2 或  -2 < x < -1 或  0 < x < 0.53343 或  x > 2.339356    (15)

    The final solution set is :

         x < -2 或  -2 < x < -1 或  0 < x < 0.53343 或  x > 2.339356




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