Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 1/(1+x)     Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities：
        1 / ( 1 + x ) < ln ( 1 + ( 1 / x ) )         (1)
        From the definition field of divisor
         1 + x ≠ 0        (2 )
         ln ( 1 + ( 1 / x ) ) <1 / x         (3)
        From the definition field of divisor
        x ≠ 0        (4 )
        From the definition field of ln
         1 + ( 1 / x ) > 0        (5 )
        From the definition field of divisor
        x ≠ 0        (6 )

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    From inequality(1)：
         x ＞ 0
    From inequality(2)：
         x < -1 或  x ＞ -1
    From inequality(3)：
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(4)：
         x < 0 或  x ＞ 0
    From inequality(5)：
         x < -1 或  x ＞ 0
    From inequality(6)：
         x < 0 或  x ＞ 0

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    From inequalities (1) and (2)
         x ＞ 0    (7)
    From inequalities (3) and (7)
         x ＞ 0    (8)
    From inequalities (4) and (8)
         x ＞ 0    (9)
    From inequalities (5) and (9)
         x ＞ 0    (10)
    From inequalities (6) and (10)
         x ＞ 0    (11)

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    The final solution set is :
         x ＞ 0

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