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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality ((-(x+4))-sqrt((x-4)^2+40))/4 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( -( x + 4 ) ) - sqrt ( ( x - 4 ) ^ 2 + 40 ) ) / 4 >0 (1)
From the definition field of √
( x - 4 ) ^ 2 + 40 ≥ 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):
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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