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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):
x < 5/2
From inequality(2):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
x < 5/2 (3)
The final solution set is :
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