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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 0.5x*(e^(-0.1*(ln1.5-ln0.1)/1.4)/(1-e^(-0.1*x) ) ) <10 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
0.5 * x * ( e ^ ( -0.1 * ( ln 1.5 - ln 0.1 ) / 1.4 ) / ( 1 - e ^ ( -0.1 * x ) ) ) <10 (1)
From the definition field of divisor
1 - e ^ ( -0.1 * x ) ≠ 0 (2 )
From inequality(1):
x < √80278/√175
From inequality(2):
x < 0 或 x > 0
From inequalities (1) and (2)
x < 0 或 0 < x < √80278/√175 (3)
The final solution set is :
x < 0 或 0 < x < √80278/√175 Your problem has not been solved here? Please take a look at the hot problems !