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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(4*x-2)+2*sqrt(3-x) >2024/2023 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sqrt ( 4 * x - 2 ) + 2 * sqrt ( 3 - x ) >2024 / 2023         (1)
        From the definition field of √
         4 * x - 2 ≥ 0        (2 )
        From the definition field of √
         3 - x ≥ 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 ≥ 1/2
    From inequality(3):
         x ≤ 3

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

    The final solution set is :

         1/2 ≤ x ≤ 3




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