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

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

    From inequalities (1) and (2)
         x > √2    (4)
    From inequalities (3) and (4)
         x > √2    (5)

    The final solution set is :

         x > √2




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