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 0.5x*(e^(-0.1*(ln1.5-ln0.1)/1.4)/(1-e^(-0.1*x) ) ) <10 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        0.5 * x * ( e ^ ( -0.1 * ( ln 1.5 - ln 0.1 ) / 1.4 ) / ( 1 - e ^ ( -0.1 * x ) ) ) <10         (1)
        From the definition field of divisor
         1 - e ^ ( -0.1 * x ) ≠ 0        (2 )

    From inequality(1):
         x < √80278/√175
    From inequality(2):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         x < 0 或  0 < x < √80278/√175     (3)

    The final solution set is :

         x < 0 或  0 < x < √80278/√175




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