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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (1-1/(10*x))^x >1-1/10 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 - 1 / ( 10 * x ) ) ^ x >1 - 1 / 10 (1)
From the definition field of divisor
10 * x ≠ 0 (2 )
From inequality(1):
x > 1
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
x > 1 (3)
The final solution set is :
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