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☆1 inequalities
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Assignment:Find the solution set of inequality (-4(0.466*300+h)-sqrt(16(0.466*300+h)^2+4((-300-0.6)^2+4(0.466*300+h)*(300+h))))/2 >-300-h .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -4 * ( 0.466 * 300 + h ) - sqrt ( 16 * ( 0.466 * 300 + h ) ^ 2 + 4 * ( ( -300 - 0.6 ) ^ 2 + 4 * ( 0.466 * 300 + h ) * ( 300 + h ) ) ) ) / 2 > -300 - h (1)
From the definition field of √
16 * ( 0.466 * 300 + x ) ^ 2 + 4 * ( ( -300 - 0.6 ) ^ 2 + 4 * ( 0.466 * 300 + x ) * ( 300 + x ) ) ≥ 0 (2 )
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 ∈ 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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