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 6711.26+479.5n+((223.62n+22.01n^2)/(347.97+66.03n))*(58n+11n^2)-1.25*(747.78*(3.86+n)+(267.21n+6.23n^2)*(911.91n+12.49n^2)/(1603.23+37.47n)) ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        6711.26 + 479.5 * n + ( ( 223.62 * n + 22.01 * n ^ 2 ) / ( 347.97 + 66.03 * n ) ) * ( 58 * n + 11 * n ^ 2 ) - 1.25 * ( 747.78 * ( 3.86 + n ) + ( 267.21 * n + 6.23 * n ^ 2 ) * ( 911.91 * n + 12.49 * n ^ 2 ) / ( 1603.23 + 37.47 * n ) ) ≥0         (1)
        From the definition field of divisor
         347.97 + 66.03 * x ≠ 0        (2 )
        From the definition field of divisor
         1603.23 + 37.47 * x ≠ 0        (3 )

    From inequality(1):
         -42.830804 ≤ n ≤ -42.78703 或  -6.067646 ≤ n ≤ 3.283545 或  n ≥ 145.270487
    From inequality(2):
         n < -5.269877 或  n > -5.269877
    From inequality(3):
         n < -42.78703 或  n > -42.78703

    From inequalities (1) and (2)
         -42.830804 ≤ n ≤ -42.78703 或  -6.067646 ≤ n < -5.269877 或  -5.269877 < n ≤ 3.283545 或  n ≥ 145.270487    (4)
    From inequalities (3) and (4)
         -42.830804 ≤ n < -42.78703 或  -6.067646 ≤ n < -5.269877 或  -5.269877 < n ≤ 3.283545 或  n ≥ 145.270487    (5)

    The final solution set is :

         -42.830804 ≤ n < -42.78703 或  -6.067646 ≤ n < -5.269877 或  -5.269877 < n ≤ 3.283545 或  n ≥ 145.270487




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