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

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

    From inequalities (1) and (2)
         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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