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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 A/250*lnA-(1-A)/250*ln(1-A)+0.01*A*(1-A) <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
A / 250 * ln A - ( 1 - A ) / 250 * ln ( 1 - A ) + 0.01 * A * ( 1 - A ) <0 (1)
From the definition field of ln
x > 0 (2 )
From the definition field of ln
1 - x > 0 (3 )
From inequality(1):
0 < A < 0.033385
From inequality(2):
A > 0
From inequality(3):
A < 1
From inequalities (1) and (2)
0 < A < 0.033385 (4)
From inequalities (3) and (4)
0 < A < 0.033385 (5)
The final solution set is :
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