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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (-22973738*x+213429952*(1-x))/(sqrt(58085260*x^2+161030277)^2)+0.84 ≤0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -22973738 * x + 213429952 * ( 1 - x ) ) / ( sqrt ( 58085260 * x ^ 2 + 161030277 ) ^ 2 ) + 0.84 ≤0 (1)
From the definition field of √
58085260 * x ^ 2 + 161030277 ≥ 0 (2 )
From the definition field of divisor
sqrt ( 58085260 * x ^ 2 + 161030277 ) ^ 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 ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
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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