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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 ln(1/x+1) >1/(1/x+1)x .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ln ( 1 / x + 1 ) >1 / ( 1 / x + 1 ) * x         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of ln
         1 / x + 1 > 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )
        From the definition field of divisor
         1 / x + 1 ≠ 0        (5 )

    From inequality(1):
         0 < x < 1.158924
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x < -1 或  x > 0
    From inequality(4):
         x < 0 或  x > 0
    From inequality(5):
         x < -1 或  -1 < x < 0 或  x > 0

    From inequalities (1) and (2)
         0 < x < 1.158924     (6)
    From inequalities (3) and (6)
         0 < x < 1.158924     (7)
    From inequalities (4) and (7)
         0 < x < 1.158924     (8)
    From inequalities (5) and (8)
         0 < x < 1.158924     (9)

    The final solution set is :

         0 < x < 1.158924




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