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 4 <= abs(-9/4m+9) <6 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        4 <= abs ( -9 / 4 * m + 9 )         (1)
         abs ( -9 / 4 * m + 9 ) <6         (2)

    From inequality(1):
         m ≤ 20/9 或  m ≥ 52/9
    From inequality(2):
         4/3 < m < 20/3

    From inequalities (1) and (2)
         4/3 < m ≤ 20/9 或  52/9 ≤ m < 20/3    (3)

    The final solution set is :

         4/3 < m ≤ 20/9 或  52/9 ≤ m < 20/3




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