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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(2x-3)+sqrt(3x-5) >sqrt(5x-6) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sqrt ( 2 * x - 3 ) + sqrt ( 3 * x - 5 ) > sqrt ( 5 * x - 6 )         (1)
        From the definition field of √
         2 * x - 3 ≥ 0        (2 )
        From the definition field of √
         3 * x - 5 ≥ 0        (3 )
        From the definition field of √
         5 * x - 6 ≥ 0        (4 )

    From inequality(1):
         x > 2
    From inequality(2):
         x ≥ 3/2
    From inequality(3):
         x ≥ 5/3
    From inequality(4):
         x ≥ 6/5

    From inequalities (1) and (2)
         x > 2    (5)
    From inequalities (3) and (5)
         x > 2    (6)
    From inequalities (4) and (6)
         x > 2    (7)

    The final solution set is :

         x > 2




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