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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 (x^2)/3*(110.65+19.41x)*(331.95+38.82x)/(221.3+38.82x) ≥2*(x^2)/5*(75.44+6.404x)*(226.32+12.81x)/(150.88+12.81x)+684.421+203.71x .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( x ^ 2 ) / 3 * ( 110.65 + 19.41 * x ) * ( 331.95 + 38.82 * x ) / ( 221.3 + 38.82 * x ) ≥2 * ( x ^ 2 ) / 5 * ( 75.44 + 6.404 * x ) * ( 226.32 + 12.81 * x ) / ( 150.88 + 12.81 * x ) + 684.421 + 203.71 * x         (1)
        From the definition field of divisor
         221.3 + 38.82 * x ≠ 0        (2 )
        From the definition field of divisor
         150.88 + 12.81 * x ≠ 0        (3 )

    From inequality(1):
         -6.444726 ≤ x ≤ -3.624624 或  x ≥ 7.495723
    From inequality(2):
         x < -5.70067 或  x > -5.70067
    From inequality(3):
         x < -11.778298 或  x > -11.778298

    From inequalities (1) and (2)
         -6.444726 ≤ x < -5.70067 或  -5.70067 < x ≤ -3.624624 或  x ≥ 7.495723    (4)
    From inequalities (3) and (4)
         -6.444726 ≤ x < -5.70067 或  -5.70067 < x ≤ -3.624624 或  x ≥ 7.495723    (5)

    The final solution set is :

         -6.444726 ≤ x < -5.70067 或  -5.70067 < x ≤ -3.624624 或  x ≥ 7.495723




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