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

    From inequality(1):
         0.5 < x < 2/3
    From inequality(2):
         x ≤ 0.5 或  x ≥ 3/5
    From inequality(3):
         x < 1/2 或  x > 1/2

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

    The final solution set is :

         3/5 ≤ x < 2/3




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