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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 8*(x^3)/(((x^2)-1)^3)-(6*x)/(((x^2)-1)^2) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        8 * ( x ^ 3 ) / ( ( ( x ^ 2 ) - 1 ) ^ 3 ) - ( 6 * x ) / ( ( ( x ^ 2 ) - 1 ) ^ 2 ) >0         (1)
        From the definition field of divisor
         ( ( x ^ 2 ) - 1 ) ^ 3 ≠ 0        (2 )
        From the definition field of divisor
         ( ( x ^ 2 ) - 1 ) ^ 2 ≠ 0        (3 )

    From inequality(1):
         -7/7 < x < 0 或  x > 1/1
    From inequality(2):
         x < -1 或  -1 < x < 1 或  x > 1
    From inequality(3):
         x < -1 或  -1 < x < 1 或  x > 1

    From inequalities (1) and (2)
         -7/7 < x < -1 或  -1 < x < 0 或  1/1 < x < 1 或  x > 1    (4)
    From inequalities (3) and (4)
         -7/7 < x < -1 或  -1 < x < -1 或  -1 < x < 0 或  1/1 < x < 1 或  1 < x < 1 或  x > 1    (5)

    The final solution set is :

         -7/7 < x < -1 或  -1 < x < -1 或  -1 < x < 0 或  1/1 < x < 1 或  1 < x < 1 或  x > 1




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