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☆1 inequalities
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Assignment:Find the solution set of inequality sqrt{(1254/1.22x)^2+(1393/x)^2} <200 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( ( 1254 / 1.22 * x ) ^ 2 + ( 1393 / x ) ^ 2 ) <200 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of √
( 1254 / 1.22 * x ) ^ 2 + ( 1393 / x ) ^ 2 ≥ 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 < 0 或 x > 0
From inequality(3):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
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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