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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+13n^2)*(218n+18n^2)/(437+37.5n)+910+520n+308+44n+249(1.3+n)-1.2[(182n+3n^2)*(91n+5n^2)/(364+9n)+718*(2+n)+220*(7+n)+55*(10+n)+17*(14+n) ) >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 218 * n + 13 * n ^ 2 ) * ( 218 * n + 18 * n ^ 2 ) / ( 437 + 37.5 * n ) + 910 + 520 * n + 308 + 44 * n + 249 * ( 1.3 + n ) - 1.2 * ( ( 182 * n + 3 * n ^ 2 ) * ( 91 * n + 5 * n ^ 2 ) / ( 364 + 9 * n ) + 718 * ( 2 + n ) + 220 * ( 7 + n ) + 55 * ( 10 + n ) + 17 * ( 14 + n ) ) >= 0         (1)
        From the definition field of divisor
         437 + 37.5 * x ≠ 0        (2 )
        From the definition field of divisor
         364 + 9 * x ≠ 0        (3 )

    From inequality(1):
         -40.444444 ≤ n ≤ -30.297787 或  -20.293421 ≤ n ≤ -12.280831 或  -11.653333 ≤ n ≤ -5.078736 或  n ≥ 8.623731
    From inequality(2):
         n < -874/75 或  n > -874/75
    From inequality(3):
         n < -364/9 或  n > -364/9

    From inequalities (1) and (2)
         -40.444444 ≤ n ≤ -30.297787 或  -20.293421 ≤ n ≤ -12.280831 或  -874/75 < n ≤ -5.078736 或  n ≥ 8.623731    (4)
    From inequalities (3) and (4)
         -364/9 < n ≤ -30.297787 或  -20.293421 ≤ n ≤ -12.280831 或  -874/75 < n ≤ -5.078736 或  n ≥ 8.623731    (5)

    The final solution set is :

         -364/9 < n ≤ -30.297787 或  -20.293421 ≤ n ≤ -12.280831 或  -874/75 < n ≤ -5.078736 或  n ≥ 8.623731




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