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Assignment:Find the solution set of inequality sqrt(22500+((22500/(4*h-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 ≥ 0 (3 )
From inequality(1):
h < 120.396561 或 h > 173.36469
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!
From inequalities (1) and (2)
h < 120.396561 或 h > 173.36469 (4)
From inequalities (3) and (4)
h < 120.396561 或 h > 173.36469 (5)
The final solution set is :
h < 120.396561 或 h > 173.36469Your problem has not been solved here? Please take a look at the hot problems !