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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 6830.42+544.59n+((155.03n+22.01n^2)/(240.54+66.03n))*(45.59n+11n^2)-1.25*(747.78*(3.86+n)+(267.21n+6.23n^2)*(911.91n+12.49n^2)/(1603.23+37.47n)) ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        6830.42 + 544.59 * n + ( ( 155.03 * n + 22.01 * n ^ 2 ) / ( 240.54 + 66.03 * n ) ) * ( 45.59 * n + 11 * n ^ 2 ) - 1.25 * ( 747.78 * ( 3.86 + n ) + ( 267.21 * n + 6.23 * n ^ 2 ) * ( 911.91 * n + 12.49 * n ^ 2 ) / ( 1603.23 + 37.47 * n ) ) ≥0         (1)
        From the definition field of divisor
         240.54 + 66.03 * x ≠ 0        (2 )
        From the definition field of divisor
         1603.23 + 37.47 * x ≠ 0        (3 )

    From inequality(1):
         -42.828318 ≤ n ≤ -42.78703 或  -5.618213 ≤ n ≤ -3.678032 或  -3.64289 ≤ n ≤ 3.449356 或  n ≥ 153.649273
    From inequality(2):
         n < -3.64289 或  n > -3.64289
    From inequality(3):
         n < -42.78703 或  n > -42.78703

    From inequalities (1) and (2)
         -42.828318 ≤ n ≤ -42.78703 或  -5.618213 ≤ n ≤ -3.678032 或  -3.64289 < n ≤ 3.449356 或  n ≥ 153.649273    (4)
    From inequalities (3) and (4)
         -42.828318 ≤ n < -42.78703 或  -5.618213 ≤ n ≤ -3.678032 或  -3.64289 < n ≤ 3.449356 或  n ≥ 153.649273    (5)

    The final solution set is :

         -42.828318 ≤ n < -42.78703 或  -5.618213 ≤ n ≤ -3.678032 或  -3.64289 < n ≤ 3.449356 或  n ≥ 153.649273




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