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 (10^(-6))+(10^(-21))*(f^2) >= (5*(10^(-6))*f+500)/((2501*f+(10^(8)))*((9/20)-(18/30))) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 10 ^ ( -6 ) ) + ( 10 ^ ( -21 ) ) * ( f ^ 2 ) >= ( 5 * ( 10 ^ ( -6 ) ) * f + 500 ) / ( ( 2501 * f + ( 10 ^ ( 8 ) ) ) * ( ( 9 / 20 ) - ( 18 / 30 ) ) )         (1)
        From the definition field of divisor
         ( 2501 * x + ( 10 ^ ( 8 ) ) ) * ( ( 9 / 20 ) - ( 18 / 30 ) ) ≠ 0        (2 )

    From inequality(1):
        The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
    From inequality(2):
         f ∈ R (R为全体实数),即在实数范围内,不等式恒成立!

    The final solution set is :

        The solution set is empty,that is, the inequality will never be estatlished within the real number range.




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