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

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

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

    The final solution set is :

         x < -3/2 或  -1 ≤ x ≤ 1 或  x > 3/2




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