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 e^x     Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         e ^ x < x ^ ( ln ( sin x ) * x )         (1)
        From the definition field of ln
         sin x > 0        (2 )

    From inequality(1):
         x < 0.372145
    From inequality(2):
         x < -15.707963 或  -12.566371 < x < -9.424778 或  -6.283185 < x < -3.141593 或  0 < x < 3.141593 或  6.283185 < x < 9.424778 或  x > 12.566371

    From inequalities (1) and (2)
         x < -15.707963 或  -12.566371 < x < -9.424778 或  -6.283185 < x < -3.141593 或  0 < x < 0.372145     (3)

    The final solution set is :

         x < -15.707963 或  -12.566371 < x < -9.424778 或  -6.283185 < x < -3.141593 或  0 < x < 0.372145

    *Note: Radian.



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