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 10-10x >010-10x-10x^(2) >010-10x-10x^(2)-10x^(3) >010-10x-10x^(2)-10x^(3)-10x^(4) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 4 inequalities:
        10 - 10 * x >010 - 10 * x - 10 * x ^ ( 2 )         (1)
        010 - 10 * x - 10 * x ^ ( 2 ) >010 - 10 * x - 10 * x ^ ( 2 ) - 10 * x ^ ( 3 )         (2)
        010 - 10 * x - 10 * x ^ ( 2 ) - 10 * x ^ ( 3 ) >010 - 10 * x - 10 * x ^ ( 2 ) - 10 * x ^ ( 3 ) - 10 * x ^ ( 4 )         (3)
        010 - 10 * x - 10 * x ^ ( 2 ) - 10 * x ^ ( 3 ) - 10 * x ^ ( 4 ) >0         (4)

    From inequality(1):
         x < 0 或  x > 0
    From inequality(2):
         x > 1/500000
    From inequality(3):
         x < -59/1000000 或  x > -59/1000000
    From inequality(4):
         -1.290649 < x < 0.51879

    From inequalities (1) and (2)
         x > 1/500000    (5)
    From inequalities (3) and (5)
         x > 1/500000    (6)
    From inequalities (4) and (6)
         1/500000 < x < 0.51879     (7)

    The final solution set is :

         1/500000 < x < 0.51879




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