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☆1 inequalities
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Assignment:Find the solution set of inequality 2 <0.113r+166.95/r-5366.25/(r^4) <20 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
2 <0.113 * r + 166.95 / r - 5366.25 / ( r ^ 4 ) (1)
0.113 * r + 166.95 / r - 5366.25 / ( r ^ 4 ) <20 (2)
From the definition field of divisor
x ≠ 0 (3 )
From the definition field of divisor
x ^ 4 ≠ 0 (4 )
From inequality(1):
r > 3.213632
From inequality(2):
r < 3.89596 或 8.255751 < r < 168.207828
From inequality(3):
r < 0 或 r > 0
From inequality(4):
r < 0 或 r > 0
From inequalities (1) and (2)
3.213632 < r < 3.89596 或 8.255751 < r < 168.207828 (5)
From inequalities (3) and (5)
3.213632 < r < 3.89596 或 8.255751 < r < 168.207828 (6)
From inequalities (4) and (6)
3.213632 < r < 3.89596 或 8.255751 < r < 168.207828 (7)
The final solution set is :
3.213632 < r < 3.89596 或 8.255751 < r < 168.207828 Your problem has not been solved here? Please take a look at the hot problems !