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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1 ≤409.6*(2000/(2000+x))*((x-110)/(110+2000)) ≤3 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
1 ≤409.6 * ( 2000 / ( 2000 + x ) ) * ( ( x - 110 ) / ( 110 + 2000 ) ) (1)
409.6 * ( 2000 / ( 2000 + x ) ) * ( ( x - 110 ) / ( 110 + 2000 ) ) ≤3 (2)
From the definition field of divisor
2000 + x ≠ 0 (3 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
x < -2000 或 x > -2000
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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