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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 (-2m-2+sqrt(8m*m+4m+4))/(2m-2) <3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( -2 * m - 2 + sqrt ( 8 * m * m + 4 * m + 4 ) ) / ( 2 * m - 2 ) <3         (1)
        From the definition field of √
         8 * x * x + 4 * x + 4 ≥ 0        (2 )
        From the definition field of divisor
         2 * x - 2 ≠ 0        (3 )

    From inequality(1):
        The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
    From inequality(2):
         m ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         m < 1 或  m > 1

    The final solution set is :

        The solution set is empty,that is, the inequality will never be estatlished within the real number range.




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