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 -1/20000 <1/2*(-41000+2x)/((21000-x)(20000-x)) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -1 / 20000 <1 / 2 * ( -41000 + 2 * x ) / ( ( 21000 - x ) * ( 20000 - x ) )         (1)
        From the definition field of divisor
         ( 21000 - x ) * ( 20000 - x ) ≠ 0        (2 )

    From inequality(1):
         x < 487507803/1000000
    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 inequalities (1) and (2)
         x < 487507803/1000000    (3)

    The final solution set is :

         x < 487507803/1000000




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