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 sqrt(4m^2-2m)÷(-2) ≤3m .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sqrt ( 4 * m ^ 2 - 2 * m ) ÷ ( -2 ) ≤3 * m         (1)
        From the definition field of √
         4 * x ^ 2 - 2 * x ≥ 0        (2 )

    From inequality(1):
         m ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         m ≤ 0 或  m ≥ 1/2

    From inequalities (1) and (2)
         m ≤ 0 或  m ≥ 1/2    (3)

    The final solution set is :

         m ≤ 0 或  m ≥ 1/2




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