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Assignment:Find the solution set of inequality (r-1)^2/r/(1+r^(0.5))^2/r ≥1.01 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( r - 1 ) ^ 2 / r / ( 1 + r ^ ( 0.5 ) ) ^ 2 / r ≥1.01 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
1 + x ^ ( 0.5 ) ≠ 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
r ≤ 0.380916
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 inequality(4):
r < 0 或 r > 0
From inequalities (1) and (2)
r < 0 或 0 < r ≤ 0.380916 (5)
From inequalities (3) and (5)
r < 0 或 0 < r ≤ 0.380916 (6)
From inequalities (4) and (6)
r < 0 或 0 < r ≤ 0.380916 (7)
The final solution set is :
r < 0 或 0 < r ≤ 0.380916 Your problem has not been solved here? Please take a look at the hot problems !