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 8*ln(1+k^5)/k^2 <0.0001 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        8 * ln ( 1 + k ^ 5 ) / k ^ 2 <0.0001         (1)
        From the definition field of ln
         1 + x ^ 5 > 0        (2 )
        From the definition field of divisor
        x ≠ 0        (3 )

    From inequality(1):
         k < 0.023208
    From inequality(2):
         k > -1
    From inequality(3):
         k < 0 或  k > 0

    From inequalities (1) and (2)
         -1 < k < 0.023208     (4)
    From inequalities (3) and (4)
         -1 < k < 0 或  0 < k < 0.023208     (5)

    The final solution set is :

         -1 < k < 0 或  0 < k < 0.023208




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