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

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

    From inequalities (1) and (2)
         x ≤ -3 或  0 ≤ x ≤ 0 或  x ≥ 1/3    (4)
    From inequalities (3) and (4)
         x ≤ -3 或  x ≥ 1/3    (5)

    The final solution set is :

         x ≤ -3 或  x ≥ 1/3




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