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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (lnx)/(x^(1/2)) <0.374681524 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ln x ) / ( x ^ ( 1 / 2 ) ) <0.374681524 (1)
From the definition field of ln
x > 0 (2 )
From the definition field of divisor
x ^ ( 1 / 2 ) ≠ 0 (3 )
From inequality(1):
x < √18105869/√7000000 或 x > 199.941852
From inequality(2):
x > 0
From inequality(3):
x ∈ 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)
0 < x < √18105869/√7000000 或 x > 199.941852 (4)
From inequalities (3) and (4)
0 < x < √18105869/√7000000 或 x > 199.941852 (5)
The final solution set is :
0 < x < √18105869/√7000000 或 x > 199.941852Your problem has not been solved here? Please take a look at the hot problems !