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 -3088.5599-533.2655×n+n^2/3×(277.35+15.044×n)×(832.05+30.088×n)/(554.7+30.088×n)-0.4×n^2×(179.59+5.8×n)×(538.77+11.6×n)/(359.18+11.6×n) ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -3088.5599 - 533.2655 × n + n ^ 2 / 3 × ( 277.35 + 15.044 × n ) × ( 832.05 + 30.088 × n ) / ( 554.7 + 30.088 × n ) - 0.4 × n ^ 2 × ( 179.59 + 5.8 × n ) × ( 538.77 + 11.6 × n ) / ( 359.18 + 11.6 × n ) ≥0         (1)
        From the definition field of divisor
         554.7 + 30.088 × x ≠ 0        (2 )
        From the definition field of divisor
         359.18 + 11.6 × x ≠ 0        (3 )

    From inequality(1):
         -18.765756 ≤ n ≤ -4.978208 或  n ≥ 12.269076
    From inequality(2):
         n < -18.435921 或  n > -18.435921
    From inequality(3):
         n < -30.963793 或  n > -30.963793

    From inequalities (1) and (2)
         -18.765756 ≤ n < -18.435921 或  -18.435921 < n ≤ -4.978208 或  n ≥ 12.269076    (4)
    From inequalities (3) and (4)
         -18.765756 ≤ n < -18.435921 或  -18.435921 < n ≤ -4.978208 或  n ≥ 12.269076    (5)

    The final solution set is :

         -18.765756 ≤ n < -18.435921 或  -18.435921 < n ≤ -4.978208 或  n ≥ 12.269076




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