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

    From inequality(1):
         -3 < x < 3
    From inequality(2):
         x ≤ 0 或  3 ≤ x ≤ 5
    From inequality(3):
         x < 3 或  x > 3

    From inequalities (1) and (2)
         -3 < x ≤ 0     (4)
    From inequalities (3) and (4)
         -3 < x ≤ 0     (5)

    The final solution set is :

         -3 < x ≤ 0




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