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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 ((0.01^2)*(q^2))/(1+sqrt(1+0.05*0.05*q*q))^2 >0.9 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( ( 0.01 ^ 2 ) * ( q ^ 2 ) ) / ( 1 + sqrt ( 1 + 0.05 * 0.05 * q * q ) ) ^ 2 >0.9         (1)
        From the definition field of √
         1 + 0.05 * 0.05 * x * x ≥ 0        (2 )
        From the definition field of divisor
         1 + sqrt ( 1 + 0.05 * 0.05 * x * x ) ≠ 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):
         q ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         q ∈ R (R为全体实数),即在实数范围内,不等式恒成立!

    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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