Mathematics
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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 x*(ln(1+(1/x))) <1/3.6 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x * ( ln ( 1 + ( 1 / x ) ) ) <1 / 3.6         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of ln
         1 + ( 1 / x ) > 0        (3 )

    From inequality(1):
         -0.003447 < x < 0.127402
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x < -1 或  x > 0

    From inequalities (1) and (2)
         -0.003447 < x < 0 或  0 < x < 0.127402     (4)
    From inequalities (3) and (4)
         0 < x < 0.127402     (5)

    The final solution set is :

         0 < x < 0.127402




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