Mathematics
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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 1024.66-115.77*n+(42518.71*n^2+11607.38*n^3+760.5*n^4)/(714.9+117*n) >(26316.59*n^2+2294.67*n^3+48.02*n^4)/(561.96+29.4*n) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1024.66 - 115.77 * n + ( 42518.71 * n ^ 2 + 11607.38 * n ^ 3 + 760.5 * n ^ 4 ) / ( 714.9 + 117 * n ) > ( 26316.59 * n ^ 2 + 2294.67 * n ^ 3 + 48.02 * n ^ 4 ) / ( 561.96 + 29.4 * n )         (1)
        From the definition field of divisor
         714.9 + 117 * x ≠ 0        (2 )
        From the definition field of divisor
         561.96 + 29.4 * x ≠ 0        (3 )

    From inequality(1):
         n > -8.413048
    From inequality(2):
         n < -6.110256 或  n > -6.110256
    From inequality(3):
         n < -19.114286 或  n > -19.114286

    From inequalities (1) and (2)
         -8.413048 < n < -6.110256 或  n > -6.110256    (4)
    From inequalities (3) and (4)
         -8.413048 < n < -6.110256 或  n > -6.110256    (5)

    The final solution set is :

         -8.413048 < n < -6.110256 或  n > -6.110256




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