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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 15825.6/（0.155+x/0.024）+16729.92/(x/0.024+5.73)+370/(1/(3.13*(24.4+2x))+ln((24.4+2x)/24.4)/0.15+0.0015+0.00002) ≤20449.05 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
15825.6 / ( 0.155 + x / 0.024 ) + 16729.92 / ( x / 0.024 + 5.73 ) + 370 / ( 1 / ( 3.13 * ( 24.4 + 2 * x ) ) + ln ( ( 24.4 + 2 * x ) / 24.4 ) / 0.15 + 0.0015 + 0.00002 ) ≤20449.05 (1)
From the definition field of divisor
0.155 + x / 0.024 ≠ 0 (2 )
From the definition field of divisor
x / 0.024 + 5.73 ≠ 0 (3 )
From the definition field of divisor
3.13 * ( 24.4 + 2 * x ) ≠ 0 (4 )
From the definition field of ln
( 24.4 + 2 * x ) / 24.4 > 0 (5 )
From the definition field of divisor
1 / ( 3.13 * ( 24.4 + 2 * x ) ) + ln ( ( 24.4 + 2 * x ) / 24.4 ) / 0.15 + 0.0015 + 0.00002 ≠ 0 (6 )
From inequality(1)：
x ≤ -0.00372 或 x ≥ 0.041902
From inequality(2)：
x < -93/25000 或 x ＞ -93/25000
From inequality(3)：
x < -1719/12500 或 x ＞ -1719/12500
From inequality(4)：
x < -61/5 或 x ＞ -61/5
From inequality(5)：
x ＞ -61/5
From inequality(6)：
x < -0.026767 或 x ＞ -0.026767
From inequalities (1) and (2)
x < -93/25000 或 x ≥ 0.041902 (7)
From inequalities (3) and (7)
x < -1719/12500 或 -1719/12500 < x < -93/25000 或 x ≥ 0.041902 (8)
From inequalities (4) and (8)
x < -61/5 或 -61/5 < x < -1719/12500 或 -1719/12500 < x < -93/25000 或 x ≥ 0.041902 (9)
From inequalities (5) and (9)
-61/5 < x < -1719/12500 或 -1719/12500 < x < -93/25000 或 x ≥ 0.041902 (10)
From inequalities (6) and (10)
-61/5 < x < -1719/12500 或 -1719/12500 < x < -0.026767 或 -0.026767 < x < -93/25000 或 x ≥ 0.041902 (11)
The final solution set is :
-61/5 < x < -1719/12500 或 -1719/12500 < x < -0.026767 或 -0.026767 < x < -93/25000 或 x ≥ 0.041902