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

    From inequality(1):
         x ≤ -1 或  x ≥ -1/3
    From inequality(2):
         -1 ≤ x ≤ 1
    From inequality(3):
         x < -1 或  x > -1

    From inequalities (1) and (2)
         -1 ≤ x ≤ -1 或  -1/3 ≤ x ≤ 1    (4)
    From inequalities (3) and (4)
         -1/3 ≤ x ≤ 1    (5)

    The final solution set is :

         -1/3 ≤ x ≤ 1




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