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

    From inequality(1):
         m < 1/√2
    From inequality(2):
         m > 1/√5
    From inequality(3):
         -1 ≤ m ≤ 1

    From inequalities (1) and (2)
         1/√5 < m < 1/√2     (4)
    From inequalities (3) and (4)
         1/√5 < m < 1/√2     (5)

    The final solution set is :

         1/√5 < m < 1/√2




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