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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 1-1/x <= -2 <= 1+1/x .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        1 - 1 / x <= -2         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
         -2 <= 1 + 1 / x         (3)
        From the definition field of divisor
        x ≠ 0        (4 )

    From inequality(1):
         0 ≤ x ≤ 1/3
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x ≤ -1/3 或  x ≥ 0
    From inequality(4):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         0 < x ≤ 1/3     (5)
    From inequalities (3) and (5)
         0 < x ≤ 1/3     (6)
    From inequalities (4) and (6)
         0 < x ≤ 1/3     (7)

    The final solution set is :

         0 < x ≤ 1/3




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