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

    From inequality(1):
        The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
    From inequality(2):
         x < 0 或  x > 0
    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

    The final solution set is :

        The solution set is empty,that is, the inequality will never be estatlished within the real number range.




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