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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 (x+3)/(x-5)-(x-3)/(x+5) ≤0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( x + 3 ) / ( x - 5 ) - ( x - 3 ) / ( x + 5 ) ≤0         (1)
        From the definition field of divisor
         x - 5 ≠ 0        (2 )
        From the definition field of divisor
         x + 5 ≠ 0        (3 )

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

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

    The final solution set is :

         x < -5 或  0 ≤ x < 5




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