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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 -46496.605-4172.325×n+n^2/3×(273.82+15.044×n)×(821.46+30.088×n)/(547.64+30.088×n)-0.4×n^2×(186.14+5.8×n)×(558.42+11.6×n)/(372.28+11.60×n) ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -46496.605 - 4172.325 × n + n ^ 2 / 3 × ( 273.82 + 15.044 × n ) × ( 821.46 + 30.088 × n ) / ( 547.64 + 30.088 × n ) - 0.4 × n ^ 2 × ( 186.14 + 5.8 × n ) × ( 558.42 + 11.6 × n ) / ( 372.28 + 11.60 × n ) ≥0         (1)
        From the definition field of divisor
         547.64 + 30.088 × x ≠ 0        (2 )
        From the definition field of divisor
         372.28 + 11.60 × x ≠ 0        (3 )

    From inequality(1):
         -38.109771 ≤ n ≤ -11.304407 或  n ≥ 40.052724
    From inequality(2):
         n < -18.201276 或  n > -18.201276
    From inequality(3):
         n < -32.093103 或  n > -32.093103

    From inequalities (1) and (2)
         -38.109771 ≤ n < -18.201276 或  -18.201276 < n ≤ -11.304407 或  n ≥ 40.052724    (4)
    From inequalities (3) and (4)
         -38.109771 ≤ n < -32.093103 或  -32.093103 < n < -18.201276 或  -18.201276 < n ≤ -11.304407 或  n ≥ 40.052724    (5)

    The final solution set is :

         -38.109771 ≤ n < -32.093103 或  -32.093103 < n < -18.201276 或  -18.201276 < n ≤ -11.304407 或  n ≥ 40.052724




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