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           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality sqrt(0.09-x*x)*(4+x-sqrt(0.09-x*x))/x <1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         sqrt ( 0.09 - x * x ) * ( 4 + x - sqrt ( 0.09 - x * x ) ) / x <1         (1)
        From the definition field of √
         0.09 - x * x ≥ 0        (2 )
        From the definition field of √
         0.09 - x * x ≥ 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )

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    From inequality(1)：
         x < 0
    From inequality(2)：
         -3/10 ≤ x ≤ 3/10
    From inequality(3)：
         -3/10 ≤ x ≤ 3/10
    From inequality(4)：
         x < 0 或  x ＞ 0

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    From inequalities (1) and (2)
         -3/10 ≤ x < 0    (5)
    From inequalities (3) and (5)
         -3/10 ≤ x < 0    (6)
    From inequalities (4) and (6)
         -3/10 ≤ x < 0    (7)

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    The final solution set is :
         -3/10 ≤ x < 0

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