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    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality ((-10117010*x)+204269700*(1-x))/(sqrt(204269700*x^2+518921850000*(1-x)^2)) ≤10000 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( ( -10117010 * x ) + 204269700 * ( 1 - x ) ) / ( sqrt ( 204269700 * x ^ 2 + 518921850000 * ( 1 - x ) ^ 2 ) ) ≤10000         (1)
        From the definition field of √
         204269700 * x ^ 2 + 518921850000 * ( 1 - x ) ^ 2 ≥ 0        (2 )
        From the definition field of divisor
         sqrt ( 204269700 * x ^ 2 + 518921850000 * ( 1 - x ) ^ 2 ) ≠ 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 is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         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 ∈ 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 ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!    (5)

    The final solution set is :

         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!




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