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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 50-4*[(1+x)^4-1]/[x*(1+x)^4] >45/(1+x)^4 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        50 - 4 * ( ( 1 + x ) ^ 4 - 1 ) / ( x * ( 1 + x ) ^ 4 ) >45 / ( 1 + x ) ^ 4         (1)
        From the definition field of divisor
         x * ( 1 + x ) ^ 4 ≠ 0        (2 )
        From the definition field of divisor
         1 + x ≠ 0        (3 )

    From inequality(1):
         x < -1.975055 或  x > 0.05704
    From inequality(2):
         x < -1 或  -1 < x < 0 或  x > 0
    From inequality(3):
         x < -1 或  x > -1

    From inequalities (1) and (2)
         x < -1.975055 或  x > 0.05704    (4)
    From inequalities (3) and (4)
         x < -1.975055 或  x > 0.05704    (5)

    The final solution set is :

         x < -1.975055 或  x > 0.05704




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