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 45x-1/6+(40000000x-x^2/6)/(x-(54000x-200)/(200000-x/1200)) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        45 * x - 1 / 6 + ( 40000000 * x - x ^ 2 / 6 ) / ( x - ( 54000 * x - 200 ) / ( 200000 - x / 1200 ) ) >0         (1)
        From the definition field of divisor
         200000 - x / 1200 ≠ 0        (2 )
        From the definition field of divisor
         x - ( 54000 * x - 200 ) / ( 200000 - x / 1200 ) ≠ 0        (3 )

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
    From inequality(3):
         x < -0.00137 或  x > -0.00137

    From inequalities (1) and (2)
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!    (4)
    From inequalities (3) and (4)
         x < -0.00137 或  x > -0.00137    (5)

    The final solution set is :

         x < -0.00137 或  x > -0.00137




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