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

    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):
         x ≥ 1
    From inequality(3):
         x ≥ 1/2
    From inequality(4):
         x ≥ 2/3

    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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