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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality m^2+1+sqrt((m^2+1)^2+4m^2) <-2m .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
m ^ 2 + 1 + sqrt ( ( m ^ 2 + 1 ) ^ 2 + 4 * m ^ 2 ) < -2 * m (1)
From the definition field of √
( x ^ 2 + 1 ) ^ 2 + 4 * x ^ 2 ≥ 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):
m ∈ 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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