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Assignment:Find the solution set of inequality 1.5*0.5*x/1.4*(e^(-0.1x)/(1-e^(-0.1*x))-e^(-1.5*x)/(1-e^(-1.5*x))) >3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1.5 * 0.5 * x / 1.4 * ( e ^ ( -0.1 * x ) / ( 1 - e ^ ( -0.1 * x ) ) - e ^ ( -1.5 * x ) / ( 1 - e ^ ( -1.5 * x ) ) ) >3 (1)
From the definition field of divisor
1 - e ^ ( -0.1 * x ) ≠ 0 (2 )
From the definition field of divisor
1 - e ^ ( -1.5 * x ) ≠ 0 (3 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
x < 0 或 x > 0 (4)
From inequalities (3) and (4)
x < 0 或 x > 0 (5)
The final solution set is :
x < 0 或 x > 0Your problem has not been solved here? Please take a look at the hot problems !