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

    From inequality(1):
         x < -2 或  x > 1
    From inequality(2):
         x < 1 或  x > 4/3
    From inequality(3):
         x < 1 或  x > 1

    From inequalities (1) and (2)
         x < -2 或  x > 4/3    (4)
    From inequalities (3) and (4)
         x < -2 或  x > 4/3    (5)

    The final solution set is :

         x < -2 或  x > 4/3




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