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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-abs(x))/(1-abs(x-0.5)) >= 1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 1 - abs ( x ) ) / ( 1 - abs ( x - 0.5 ) ) >= 1         (1)
        From the definition field of divisor
         1 - abs ( x - 0.5 ) ≠ 0        (2 )

    From inequality(1):
         -0.5 ≤ x ≤ 1/4 或  x ≥ 1.5
    From inequality(2):
         x < -1/2 或  -1/2 < x < 3/2 或  x > 3/2

    From inequalities (1) and (2)
         -1/2 < x ≤ 1/4 或  x > 3/2    (3)

    The final solution set is :

         -1/2 < x ≤ 1/4 或  x > 3/2




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