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

    From inequality(1):
         1 < x < 1.324869 或  2 < x < 2.460811 或  3 < x < 5.21432
    From inequality(2):
         x < 1 或  x > 1
    From inequality(3):
         x < 2 或  x > 2
    From inequality(4):
         x < 3 或  x > 3

    From inequalities (1) and (2)
         1 < x < 1.324869 或  2 < x < 2.460811 或  3 < x < 5.21432     (5)
    From inequalities (3) and (5)
         1 < x < 1.324869 或  2 < x < 2.460811 或  3 < x < 5.21432     (6)
    From inequalities (4) and (6)
         1 < x < 1.324869 或  2 < x < 2.460811 或  3 < x < 5.21432     (7)

    The final solution set is :

         1 < x < 1.324869 或  2 < x < 2.460811 或  3 < x < 5.21432




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