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 542.9+382n+(18n^2+153n)*(38n^2+153n)/(306+38n)+47*(13.6+n)+322*(9+n)-1.2[3858+1011n+(199n+4.5n^2)*(199n+3n^2)/(400+9n)] >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        542.9 + 382 * n + ( 18 * n ^ 2 + 153 * n ) * ( 38 * n ^ 2 + 153 * n ) / ( 306 + 38 * n ) + 47 * ( 13.6 + n ) + 322 * ( 9 + n ) - 1.2 * ( 3858 + 1011 * n + ( 199 * n + 4.5 * n ^ 2 ) * ( 199 * n + 3 * n ^ 2 ) / ( 400 + 9 * n ) ) >= 0         (1)
        From the definition field of divisor
         306 + 38 * x ≠ 0        (2 )
        From the definition field of divisor
         400 + 9 * x ≠ 0        (3 )

    From inequality(1):
         -8.311548 ≤ n ≤ -8.052632 或  -2.990448 ≤ n ≤ -1.537388 或  n ≥ 7.149955
    From inequality(2):
         n < -8.052632 或  n > -8.052632
    From inequality(3):
         n < -400/9 或  n > -400/9

    From inequalities (1) and (2)
         -8.311548 ≤ n < -8.052632 或  -2.990448 ≤ n ≤ -1.537388 或  n ≥ 7.149955    (4)
    From inequalities (3) and (4)
         -8.311548 ≤ n < -8.052632 或  -2.990448 ≤ n ≤ -1.537388 或  n ≥ 7.149955    (5)

    The final solution set is :

         -8.311548 ≤ n < -8.052632 或  -2.990448 ≤ n ≤ -1.537388 或  n ≥ 7.149955




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