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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 2 <0.116r+140.6625/r-3799.14/(r^3) <20 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
2 <0.116 * r + 140.6625 / r - 3799.14 / ( r ^ 3 ) (1)
0.116 * r + 140.6625 / r - 3799.14 / ( 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):
-4.975203 < r < 0.0001 或 r > 5.338778
From inequality(2):
r < -4.110647 或 0.0001 < r < 165.075288
From inequality(3):
r < 0 或 r > 0
From inequality(4):
r < 0 或 r > 0
From inequalities (1) and (2)
-4.975203 < r < -4.110647 或 5.338778 < r < 165.075288 (5)
From inequalities (3) and (5)
-4.975203 < r < -4.110647 或 5.338778 < r < 165.075288 (6)
From inequalities (4) and (6)
-4.975203 < r < -4.110647 或 5.338778 < r < 165.075288 (7)
The final solution set is :
-4.975203 < r < -4.110647 或 5.338778 < r < 165.075288 Your problem has not been solved here? Please take a look at the hot problems !