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 <1-x     Question type: Inequality
    Solution:
    The inequality can be reduced to 3 inequalities:
        -1 <1 - x         (1)
        1 - x < x ^ 2 - 1         (2)
         x ^ 2 - 1 <1         (3)

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

    From inequalities (1) and (2)
         x < -2 或  1 < x < 2     (4)
    From inequalities (3) and (4)
         1 < x < √2     (5)

    The final solution set is :

         1 < x < √2




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