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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 -0.1*x^2/((1/x-1)^2)+353300*x^2/(exp(1.6258*(1/x-1))-1) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -0.1 * x ^ 2 / ( ( 1 / x - 1 ) ^ 2 ) + 353300 * x ^ 2 / ( e ( 1.6258 * ( 1 / x - 1 ) ) - 1 ) >0         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
         ( 1 / x - 1 ) ^ 2 ≠ 0        (3 )
        From the definition field of divisor
        x ≠ 0        (4 )
        From the definition field of divisor
         e ( 1.6258 * ( 1 / x - 1 ) ) - 1 ≠ 0        (5 )

    From inequality(1):
         √39171/√7000000 < x < 1.000001
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x < 1 或  x > 1
    From inequality(4):
         x < 0 或  x > 0
    From inequality(5):
         x < 0 或  0 < x < 1 或  x > 1

    From inequalities (1) and (2)
         √39171/√7000000 < x < 1.000001     (6)
    From inequalities (3) and (6)
         √39171/√7000000 < x < 1 或  1 < x < 1.000001     (7)
    From inequalities (4) and (7)
         √39171/√7000000 < x < 1 或  1 < x < 1.000001     (8)
    From inequalities (5) and (8)
         √39171/√7000000 < x < 1 或  1 < x < 1 或  1 < x < 1.000001     (9)

    The final solution set is :

         √39171/√7000000 < x < 1 或  1 < x < 1 或  1 < x < 1.000001




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