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           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality (-6.397252*x+1072.21*(1-x))/(sqrt(0.02332098*x^2+6.441211*(1-x)^2)) ≤-2.33 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         ( -6.397252 * x + 1072.21 * ( 1 - x ) ) / ( sqrt ( 0.02332098 * x ^ 2 + 6.441211 * ( 1 - x ) ^ 2 ) ) ≤ -2.33         (1)
        From the definition field of √
         0.02332098 * x ^ 2 + 6.441211 * ( 1 - x ) ^ 2 ≥ 0        (2 )
        From the definition field of divisor
         sqrt ( 0.02332098 * x ^ 2 + 6.441211 * ( 1 - x ) ^ 2 ) ≠ 0        (3 )

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    From inequality(1)：
         x ≥ 0.994398
    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！

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    From inequalities (1) and (2)
         x ≥ 0.994398    (4)
    From inequalities (3) and (4)
         x ≥ 0.994398    (5)

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    The final solution set is :
         x ≥ 0.994398

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