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           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 0 ≤（1-60/x）^2 ≤1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities：
        0 ≤ ( 1 - 60 / x ) ^ 2         (1)
         ( 1 - 60 / x ) ^ 2 ≤1         (2)
        From the definition field of divisor
        x ≠ 0        (3 )

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    From inequality(1)：
         x ≤ 60 或  60 ≤ x ≤ 60 或  x ≥ 60
    From inequality(2)：
         x ≥ 30
    From inequality(3)：
         x < 0 或  x ＞ 0

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    From inequalities (1) and (2)
         30 ≤ x ≤ 60 或  60 ≤ x ≤ 60 或  x ≥ 60    (4)
    From inequalities (3) and (4)
         30 ≤ x ≤ 60 或  60 ≤ x ≤ 60 或  x ≥ 60    (5)

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    The final solution set is :
         30 ≤ x ≤ 60 或  60 ≤ x ≤ 60 或  x ≥ 60

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