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 (r-1)^2/r/(1+r^(0.5))^2 ≥0.99 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( r - 1 ) ^ 2 / r / ( 1 + r ^ ( 0.5 ) ) ^ 2 ≥0.99         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
         1 + x ^ ( 0.5 ) ≠ 0        (3 )

    From inequality(1):
         r ≤ 0.251258
    From inequality(2):
         r < 0 或  r > 0
    From inequality(3):
         r ∈ R (R为全体实数),即在实数范围内,不等式恒成立!

    From inequalities (1) and (2)
         r < 0 或  0 < r ≤ 0.251258     (4)
    From inequalities (3) and (4)
         r < 0 或  0 < r ≤ 0.251258     (5)

    The final solution set is :

         r < 0 或  0 < r ≤ 0.251258




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