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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality sqrt(22500+((22500/(4h-641.6544))-h)^2-300.4) <0.6 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( 22500 + ( ( 22500 / ( 4 * h - 641.6544 ) ) - h ) ^ 2 - 300.4 ) <0.6 (1)
From the definition field of divisor
4 * x - 641.6544 ≠ 0 (2 )
From the definition field of √
22500 + ( ( 22500 / ( 4 * x - 641.6544 ) ) - x ) ^ 2 - 300.4 ≥ 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):
h < 200517/1250 或 h > 200517/1250
From inequality(3):
h ∈ 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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