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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 862+587n+(213.6n+22n^2)*(213.6n+22n^2)/(427+22n)+(1.5+n)*41.3+(13.7+n)*319.5-1.2[3628+1057n+(285n+3.7n^2)*(285n+1.24n^2)/(285+3.73n)] >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        862 + 587 * n + ( 213.6 * n + 22 * n ^ 2 ) * ( 213.6 * n + 22 * n ^ 2 ) / ( 427 + 22 * n ) + ( 1.5 + n ) * 41.3 + ( 13.7 + n ) * 319.5 - 1.2 * ( 3628 + 1057 * n + ( 285 * n + 3.7 * n ^ 2 ) * ( 285 * n + 1.24 * n ^ 2 ) / ( 285 + 3.73 * n ) ) >= 0         (1)
        From the definition field of divisor
         427 + 22 * x ≠ 0        (2 )
        From the definition field of divisor
         285 + 3.73 * x ≠ 0        (3 )

    From inequality(1):
         -76.47977 ≤ n ≤ -76.407507 或  -19.409091 ≤ n ≤ -16.235059 或  -2.550115 ≤ n ≤ 1.488735 或  n ≥ 14.523844
    From inequality(2):
         n < -427/22 或  n > -427/22
    From inequality(3):
         n < -76.407507 或  n > -76.407507

    From inequalities (1) and (2)
         -76.47977 ≤ n ≤ -76.407507 或  -427/22 < n ≤ -16.235059 或  -2.550115 ≤ n ≤ 1.488735 或  n ≥ 14.523844    (4)
    From inequalities (3) and (4)
         -76.47977 ≤ n < -76.407507 或  -427/22 < n ≤ -16.235059 或  -2.550115 ≤ n ≤ 1.488735 或  n ≥ 14.523844    (5)

    The final solution set is :

         -76.47977 ≤ n < -76.407507 或  -427/22 < n ≤ -16.235059 或  -2.550115 ≤ n ≤ 1.488735 或  n ≥ 14.523844




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