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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 1.5*0.5*x/1.4*(1/(e^(0.1x)-1)-1/(e^(1.5x)-1)) >3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1.5 * 0.5 * x / 1.4 * ( 1 / ( e ^ ( 0.1 * x ) - 1 ) - 1 / ( e ^ ( 1.5 * x ) - 1 ) ) >3         (1)
        From the definition field of divisor
         e ^ ( 0.1 * x ) - 1 ≠ 0        (2 )
        From the definition field of divisor
         e ^ ( 1.5 * x ) - 1 ≠ 0        (3 )

    From inequality(1):
         -√397610951/√3500000 < x < √397610951/√3500000
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         -√397610951/√3500000 < x < 0 或  0 < x < √397610951/√3500000     (4)
    From inequalities (3) and (4)
         -√397610951/√3500000 < x < 0 或  0 < x < √397610951/√3500000     (5)

    The final solution set is :

         -√397610951/√3500000 < x < 0 或  0 < x < √397610951/√3500000




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