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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 e(1-0.5x^(0.25))/(1+x^(0.125))     Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         e ( 1 - 0.5 * x ^ ( 0.25 ) ) / ( 1 + x ^ ( 0.125 ) ) < ln ( ( ln x / x ^ ( 0.5 ) ) )         (1)
        From the definition field of divisor
         1 + x ^ ( 0.125 ) ≠ 0        (2 )
        From the definition field of ln
        x > 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )
        From the definition field of ln
         ( ln x / x ^ ( 0.5 ) ) > 0        (5 )

    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 ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
    From inequality(3):
         x > 0
    From inequality(4):
         x < 0 或  x > 0
    From inequality(5):
         x > 1

    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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