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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 2 <1/(3x-1) ≤3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        2 <1 / ( 3 * x - 1 )         (1)
        1 / ( 3 * x - 1 ) ≤3         (2)
        From the definition field of divisor
         3 * x - 1 ≠ 0        (3 )

    From inequality(1):
         0.333333 < x < 1/2
    From inequality(2):
         x ≤ 0.333333 或  x ≥ 4/9
    From inequality(3):
         x < 1/3 或  x > 1/3

    From inequalities (1) and (2)
         4/9 ≤ x < 1/2    (4)
    From inequalities (3) and (4)
         4/9 ≤ x < 1/2    (5)

    The final solution set is :

         4/9 ≤ x < 1/2




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