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 -1874.179+1021.159n+n^2/3×(750.781+19.119n)×(2252.343+38.238n)/(1501.562+38.238n)-0.4×n^2(248.477+4.766n)×(754.431+9.531n)/(469.954+9.531n) ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -1874.179 + 1021.159 * n + n ^ 2 / 3 × ( 750.781 + 19.119 * n ) × ( 2252.343 + 38.238 * n ) / ( 1501.562 + 38.238 * n ) - 0.4 × n ^ 2 * ( 248.477 + 4.766 * n ) × ( 754.431 + 9.531 * n ) / ( 469.954 + 9.531 * n ) ≥0         (1)
        From the definition field of divisor
         1501.562 + 38.238 * x ≠ 0        (2 )
        From the definition field of divisor
         469.954 + 9.531 * x ≠ 0        (3 )

    From inequality(1):
         -53.408601 ≤ n ≤ -49.307943 或  -39.353795 ≤ n ≤ -7.003638 或  n ≥ 1.405495
    From inequality(2):
         n < -39.268843 或  n > -39.268843
    From inequality(3):
         n < -49.307943 或  n > -49.307943

    From inequalities (1) and (2)
         -53.408601 ≤ n ≤ -49.307943 或  -39.353795 ≤ n < -39.268843 或  -39.268843 < n ≤ -7.003638 或  n ≥ 1.405495    (4)
    From inequalities (3) and (4)
         -53.408601 ≤ n < -49.307943 或  -39.353795 ≤ n < -39.268843 或  -39.268843 < n ≤ -7.003638 或  n ≥ 1.405495    (5)

    The final solution set is :

         -53.408601 ≤ n < -49.307943 或  -39.353795 ≤ n < -39.268843 或  -39.268843 < n ≤ -7.003638 或  n ≥ 1.405495




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