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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 1449+837n+(25n^2+240n)*(50n^2+240n)/(480+51n)+35.8*(14.4+n)+325*(11.1+n)-1.2[4496+1211n+(214n+3.6n^2)*(214n+7.3n^2)/(428+7.3n)] >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1449 + 837 * n + ( 25 * n ^ 2 + 240 * n ) * ( 50 * n ^ 2 + 240 * n ) / ( 480 + 51 * n ) + 35.8 * ( 14.4 + n ) + 325 * ( 11.1 + n ) - 1.2 * ( 4496 + 1211 * n + ( 214 * n + 3.6 * n ^ 2 ) * ( 214 * n + 7.3 * n ^ 2 ) / ( 428 + 7.3 * n ) ) >= 0         (1)
        From the definition field of divisor
         480 + 51 * x ≠ 0        (2 )
        From the definition field of divisor
         428 + 7.3 * x ≠ 0        (3 )

    From inequality(1):
         -58.630137 ≤ n ≤ -58.543114 或  -9.537197 ≤ n ≤ -9.411765 或  -3.646547 ≤ n ≤ 0.703862 或  n ≥ 3.372293
    From inequality(2):
         n < -9.411765 或  n > -9.411765
    From inequality(3):
         n < -58.630137 或  n > -58.630137

    From inequalities (1) and (2)
         -58.630137 ≤ n ≤ -58.543114 或  -9.537197 ≤ n < -9.411765 或  -3.646547 ≤ n ≤ 0.703862 或  n ≥ 3.372293    (4)
    From inequalities (3) and (4)
         -58.630137 < n ≤ -58.543114 或  -9.537197 ≤ n < -9.411765 或  -3.646547 ≤ n ≤ 0.703862 或  n ≥ 3.372293    (5)

    The final solution set is :

         -58.630137 < n ≤ -58.543114 或  -9.537197 ≤ n < -9.411765 或  -3.646547 ≤ n ≤ 0.703862 或  n ≥ 3.372293




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