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 (3x-11)/(x^2-6x+9) ≤1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 3 * x - 11 ) / ( x ^ 2 - 6 * x + 9 ) ≤1         (1)
        From the definition field of divisor
         x ^ 2 - 6 * x + 9 ≠ 0        (2 )

    From inequality(1):
         x ≤ 4 或  x ≥ 5
    From inequality(2):
         x < 3 或  x > 3

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

    The final solution set is :

         x < 3 或  3 < x ≤ 4 或  x ≥ 5




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