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 1/(x+absx)+1/(x-absx) <100000 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1 / ( x + abs x ) + 1 / ( x - abs x ) <100000         (1)
        From the definition field of divisor
         x + abs x ≠ 0        (2 )
        From the definition field of divisor
         x - abs x ≠ 0        (3 )

    From inequality(1):
        The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
    From inequality(2):
         x < -433889/500000 或  -433889/500000 < x < -787901/1000000 或  -787901/1000000 < x < -28321/40000 或  -28321/40000 < x < -157037/250000 或  -157037/250000 < x < -34267/62500 或  -34267/62500 < x < -93679/200000 或  -93679/200000 < x < -388519/1000000 或  -388519/1000000 < x < -154321/500000 或  -154321/500000 < x < -45753/200000 或  -45753/200000 < x < -148889/1000000 或  x > -148889/1000000
    From inequality(3):
         x < 679/62500 或  679/62500 < x < 90741/1000000 或  90741/1000000 < x < 1706/9999 或  1706/9999 < x < 125247/500000 或  125247/500000 < x < 33037/100000 或  33037/100000 < x < 410247/1000000 或  410247/1000000 < x < 490123/1000000 或  490123/1000000 < x < 57/100 或  57/100 < x < 649877/1000000 或  x > 649877/1000000

    The final solution set is :

        The solution set is empty,that is, the inequality will never be estatlished within the real number range.




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