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

    From inequality(1):
         1 ≤ x ≤ 1.267949 或  2 ≤ x ≤ 4.732051
    From inequality(2):
         x < 1 或  x > 1
    From inequality(3):
         x < 2 或  x > 2

    From inequalities (1) and (2)
         1 < x ≤ 1.267949 或  2 ≤ x ≤ 4.732051    (4)
    From inequalities (3) and (4)
         1 < x ≤ 1.267949 或  2 < x ≤ 4.732051     (5)

    The final solution set is :

         1 < x ≤ 1.267949 或  2 < x ≤ 4.732051




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