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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality e(-lnx/2) ≤lnx/x^(1/2) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
e ( -ln x / 2 ) ≤ ln x / x ^ ( 1 / 2 ) (1)
From the definition field of ln
x > 0 (2 )
From the definition field of ln
x > 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
x ≥ 2.718282
From inequality(2):
x > 0
From inequality(3):
x > 0
From inequality(4):
x < 0 或 x > 0
From inequalities (1) and (2)
x ≥ 2.718282 (5)
From inequalities (3) and (5)
x ≥ 2.718282 (6)
From inequalities (4) and (6)
x ≥ 2.718282 (7)
The final solution set is :
x ≥ 2.718282Your problem has not been solved here? Please take a look at the hot problems !