Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 3 questions will be solved this time.Among them
           ☆3 inequalities

[ 1/3Inequality]
    Assignment:Find the solution set of inequality -1 <1+x <1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        -1 <1 + x         (1)
        1 + x <1         (2)

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

    From inequalities (1) and (2)
         -2 < x < 0     (3)

    The final solution set is :

         -2 < x < 0

[ 2/3Inequality]
    Assignment:Find the solution set of inequality -1 <1-x^2 <1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        -1 <1 - x ^ 2         (1)
        1 - x ^ 2 <1         (2)

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

    From inequalities (1) and (2)
         -√2 < x < 0 或  0 < x < √2     (3)

    The final solution set is :

         -√2 < x < 0 或  0 < x < √2

[ 3/3Inequality]
    Assignment:Find the solution set of inequality 1+x     Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1 + x < x ^ 2 - 1         (1)

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

    The final solution set is :

         x < -1 或  x > 2




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