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

    From inequality(1):
         x ≤ 0
    From inequality(2):
         x > 0
    From inequality(3):
         x < 0 或  x > 0

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

    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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