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 (3x×x+4-3x-2sqrt(2x×x×x-2x×x+4x))÷2÷(x-1)÷(x-1) ≤(4x-2)÷(3x) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 3 * x × x + 4 - 3 * x - 2 * sqrt ( 2 * x × x × x - 2 * x × x + 4 * x ) ) ÷ 2 ÷ ( x - 1 ) ÷ ( x - 1 ) ≤ ( 4 * x - 2 ) ÷ ( 3 * x )         (1)
        From the definition field of √
         2 * x × x × x - 2 * x × x + 4 * x ≥ 0        (2 )

    From inequality(1):
         x ≤ 0 或  0 ≤ x ≤ 2 或  2 ≤ x ≤ 46.090552
    From inequality(2):
         x ≥ 0

    From inequalities (1) and (2)
         0 ≤ x ≤ 0 或  0 ≤ x ≤ 2 或  2 ≤ x ≤ 46.090552    (3)

    The final solution set is :

         0 ≤ x ≤ 0 或  0 ≤ x ≤ 2 或  2 ≤ x ≤ 46.090552




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