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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 34 <3x <4x^2 <9706 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 3 inequalities:
        34 <3 * x         (1)
        3 * x <4 * x ^ 2         (2)
        4 * x ^ 2 <9706         (3)

    From inequality(1):
         x > 34/3
    From inequality(2):
         x < 0 或  x > 3/4
    From inequality(3):
         -√4853/√2 < x < √4853/√2

    From inequalities (1) and (2)
         x > 34/3    (4)
    From inequalities (3) and (4)
         34/3 < x < √4853/√2     (5)

    The final solution set is :

         34/3 < x < √4853/√2




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