current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1.5*0.5*x/1.4*(1/(e^(0.1x)-1)-1/(e^(1.5x)-1)) >3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1.5 * 0.5 * x / 1.4 * ( 1 / ( e ^ ( 0.1 * x ) - 1 ) - 1 / ( e ^ ( 1.5 * x ) - 1 ) ) >3 (1)
From the definition field of divisor
e ^ ( 0.1 * x ) - 1 ≠ 0 (2 )
From the definition field of divisor
e ^ ( 1.5 * x ) - 1 ≠ 0 (3 )
From inequality(1):
-√397610951/√3500000 < x < √397610951/√3500000
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
-√397610951/√3500000 < x < 0 或 0 < x < √397610951/√3500000 (4)
From inequalities (3) and (4)
-√397610951/√3500000 < x < 0 或 0 < x < √397610951/√3500000 (5)
The final solution set is :
-√397610951/√3500000 < x < 0 或 0 < x < √397610951/√3500000 Your problem has not been solved here? Please take a look at the hot problems !