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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^2)-4x+1)/((3x^2)-7x+2) ≤1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( ( x ^ 2 ) - 4 * x + 1 ) / ( ( 3 * x ^ 2 ) - 7 * x + 2 ) ≤1         (1)
        From the definition field of divisor
         ( 3 * x ^ 2 ) - 7 * x + 2 ≠ 0        (2 )

    From inequality(1):
         x ≤ 0.333333 或  1/2 ≤ x ≤ 1 或  x ≥ 2
    From inequality(2):
         x < 1/3 或  1/3 < x < 2 或  x > 2

    From inequalities (1) and (2)
         x < 1/3 或  1/2 ≤ x ≤ 1 或  x > 2    (3)

    The final solution set is :

         x < 1/3 或  1/2 ≤ x ≤ 1 或  x > 2




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