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           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality abs(lgx)     Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities：
         abs ( lg x ) < abs ( lg 4 * x )         (1)
        From the definition field of lg
        x > 0        (2 )
         abs ( lg 4 * x ) < abs ( lg 2 * x )         (3)

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    From inequality(1)：
         x ＞ 1/2
    From inequality(2)：
         x ＞ 0
    From inequality(3)：
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!

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    From inequalities (1) and (2)
         x ＞ 1/2    (4)
    From inequalities (3) and (4)
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!    (5)

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    The final solution set is :
        x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!

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