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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1-(1-1/x)/lnx <0.001 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 - ( 1 - 1 / x ) / ln x <0.001 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of ln
x > 0 (3 )
From inequality(1):
0 < x < 1.002003
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x > 0
From inequalities (1) and (2)
0 < x < 1.002003 (4)
From inequalities (3) and (4)
0 < x < 1.002003 (5)
The final solution set is :
0 < x < 1.002003 Your problem has not been solved here? Please take a look at the hot problems !