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

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

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

    The final solution set is :

         x ≥ -1/2




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