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-5)]+[1/(x-7)] >[1/(x-9)]+[1/(x-3)] .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 1 / ( x - 5 ) ) + ( 1 / ( x - 7 ) ) > ( 1 / ( x - 9 ) ) + ( 1 / ( x - 3 ) )         (1)
        From the definition field of divisor
         x - 5 ≠ 0        (2 )
        From the definition field of divisor
         x - 7 ≠ 0        (3 )
        From the definition field of divisor
         x - 9 ≠ 0        (4 )
        From the definition field of divisor
         x - 3 ≠ 0        (5 )

    From inequality(1):
         x < 3 或  5 < x < 6 或  7 < x < 9
    From inequality(2):
         x < 5 或  x > 5
    From inequality(3):
         x < 7 或  x > 7
    From inequality(4):
         x < 9 或  x > 9
    From inequality(5):
         x < 3 或  x > 3

    From inequalities (1) and (2)
         x < 3 或  5 < x < 6 或  7 < x < 9     (6)
    From inequalities (3) and (6)
         x < 3 或  5 < x < 6 或  7 < x < 9     (7)
    From inequalities (4) and (7)
         x < 3 或  5 < x < 6 或  7 < x < 9     (8)
    From inequalities (5) and (8)
         x < 3 或  5 < x < 6 或  7 < x < 9     (9)

    The final solution set is :

         x < 3 或  5 < x < 6 或  7 < x < 9




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