Mathematics
         
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Solution inequality:
    Directly input the univariate inequality (that is, the inequality containing only one variable), set the angular unit (radian or angle) of the trigonometric function, and click the "Next" button to obtain the solution set of the inequality.
    It supports mathematical functions (including trigonometric functions).
    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+24.904x)*(226.32+49.81x)/(150.88+49.81x)+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 + 24.904 * x ) * ( 226.32 + 49.81 * x ) / ( 150.88 + 49.81 * 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 + 49.81 * x ≠ 0        (3 )

    From inequality(1):
         x ≤ -2.677115
    From inequality(2):
         x < -5.70067 或  x > -5.70067
    From inequality(3):
         x < -3.029111 或  x > -3.029111

    From inequalities (1) and (2)
         x < -5.70067 或  -5.70067 < x ≤ -2.677115     (4)
    From inequalities (3) and (4)
         x < -5.70067 或  -5.70067 < x < -3.029111 或  -3.029111 < x ≤ -2.677115     (5)

    The final solution set is :

         x < -5.70067 或  -5.70067 < x < -3.029111 或  -3.029111 < x ≤ -2.677115



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