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Assignment:Find the solution set of inequality 2 <0.113r+1.113(60^2/(24r)-60^4/2688) <20 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
2 <0.113 * r + 1.113 * ( 60 ^ 2 / ( 24 * r ) - 60 ^ 4 / 2688 ) (1)
0.113 * r + 1.113 * ( 60 ^ 2 / ( 24 * r ) - 60 ^ 4 / 2688 ) <20 (2)
From the definition field of divisor
24 * x ≠ 0 (3 )
From inequality(1):
r ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(3):
r < 0 或 r > 0
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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