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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 (218n+18n^2)*(218.3n+12.5n^2)/(436+37.5n)+(1.75+n)*520-1.2[(91n+4.5n^2)*(182.2n+3n^2)/(364.4+9n)+(2.2+n)*719+(6.6+n)*220+55*(10.3+n)+(14+n)*17 ) >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 218 * n + 18 * n ^ 2 ) * ( 218.3 * n + 12.5 * n ^ 2 ) / ( 436 + 37.5 * n ) + ( 1.75 + n ) * 520 - 1.2 * ( ( 91 * n + 4.5 * n ^ 2 ) * ( 182.2 * n + 3 * n ^ 2 ) / ( 364.4 + 9 * n ) + ( 2.2 + n ) * 719 + ( 6.6 + n ) * 220 + 55 * ( 10.3 + n ) + ( 14 + n ) * 17 ) >= 0         (1)
        From the definition field of divisor
         436 + 37.5 * x ≠ 0        (2 )
        From the definition field of divisor
         364.4 + 9 * x ≠ 0        (3 )

    From inequality(1):
         -40.488889 ≤ n ≤ -30.966176 或  -23.968209 ≤ n ≤ -12.027118 或  -11.626667 ≤ n ≤ -4.284137 或  n ≥ 10.832306
    From inequality(2):
         n < -11.626667 或  n > -11.626667
    From inequality(3):
         n < -1822/45 或  n > -1822/45

    From inequalities (1) and (2)
         -40.488889 ≤ n ≤ -30.966176 或  -23.968209 ≤ n ≤ -12.027118 或  -11.626667 < n ≤ -4.284137 或  n ≥ 10.832306    (4)
    From inequalities (3) and (4)
         -1822/45 < n ≤ -30.966176 或  -23.968209 ≤ n ≤ -12.027118 或  -11.626667 < n ≤ -4.284137 或  n ≥ 10.832306    (5)

    The final solution set is :

         -1822/45 < n ≤ -30.966176 或  -23.968209 ≤ n ≤ -12.027118 或  -11.626667 < n ≤ -4.284137 或  n ≥ 10.832306




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