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 2 <1-b+sqrt(b^2-2*b-7) <4 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        2 <1 - b + sqrt ( b ^ 2 - 2 * b - 7 )         (1)
        1 - b + sqrt ( b ^ 2 - 2 * b - 7 ) <4         (2)
        From the definition field of √
         x ^ 2 - 2 * x - 7 ≥ 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):
         b > -2
    From inequality(3):
         b ≤ -1.828427 或  b ≥ 3.828427

    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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