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 -2048.7065+1146.8248n+n^2/3×(776.346+19.119n)×(2329.038+38.238n)/(1552.692+38.238n)-0.4×n^2×(254.939+4.766n)×(764.817+9.531n)/(509.878+9.531n) ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -2048.7065 + 1146.8248 * n + n ^ 2 / 3 × ( 776.346 + 19.119 * n ) × ( 2329.038 + 38.238 * n ) / ( 1552.692 + 38.238 * n ) - 0.4 × n ^ 2 × ( 254.939 + 4.766 * n ) × ( 764.817 + 9.531 * n ) / ( 509.878 + 9.531 * n ) ≥0         (1)
        From the definition field of divisor
         1552.692 + 38.238 * x ≠ 0        (2 )
        From the definition field of divisor
         509.878 + 9.531 * x ≠ 0        (3 )

    From inequality(1):
         -46.997472 ≤ n ≤ -7.055573 或  n ≥ 1.383521
    From inequality(2):
         n < -40.605994 或  n > -40.605994
    From inequality(3):
         n < -53.4968 或  n > -53.4968

    From inequalities (1) and (2)
         -46.997472 ≤ n < -40.605994 或  -40.605994 < n ≤ -7.055573 或  n ≥ 1.383521    (4)
    From inequalities (3) and (4)
         -46.997472 ≤ n < -40.605994 或  -40.605994 < n ≤ -7.055573 或  n ≥ 1.383521    (5)

    The final solution set is :

         -46.997472 ≤ n < -40.605994 或  -40.605994 < n ≤ -7.055573 或  n ≥ 1.383521




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