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

    From inequality(1):
         x ≤ 4/3 或  x ≥ 1.5
    From inequality(2):
         x ≤ 1.5 或  x ≥ 5/3
    From inequality(3):
         x < 3/2 或  x > 3/2

    From inequalities (1) and (2)
         x ≤ 4/3 或  1.5 ≤ x ≤ 1.5 或  x ≥ 5/3    (4)
    From inequalities (3) and (4)
         x ≤ 4/3 或  x ≥ 5/3    (5)

    The final solution set is :

         x ≤ 4/3 或  x ≥ 5/3




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