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 2 <0.118r+167.7/r-5390.35/(r^3) <20 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
2 <0.118 * r + 167.7 / r - 5390.35 / ( r ^ 3 ) (1)
0.118 * r + 167.7 / r - 5390.35 / ( r ^ 3 ) <20 (2)
From the definition field of divisor
x ≠ 0 (3 )
From the definition field of divisor
x ^ 3 ≠ 0 (4 )
From inequality(1):
-5.44105 < r < 0.0001 或 r > 5.803056
From inequality(2):
r < -4.54432 或 0.0001 < r < 160.656419
From inequality(3):
r < 0 或 r > 0
From inequality(4):
r < 0 或 r > 0
From inequalities (1) and (2)
-5.44105 < r < -4.54432 或 5.803056 < r < 160.656419 (5)
From inequalities (3) and (5)
-5.44105 < r < -4.54432 或 5.803056 < r < 160.656419 (6)
From inequalities (4) and (6)
-5.44105 < r < -4.54432 或 5.803056 < r < 160.656419 (7)
The final solution set is :
-5.44105 < r < -4.54432 或 5.803056 < r < 160.656419 Your problem has not been solved here? Please take a look at the hot problems !