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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 0
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 < m + sqrt ( 4 * m ^ 2 - 10 * m + 4 ) (1)
m + sqrt ( 4 * m ^ 2 - 10 * m + 4 ) <0 (2)
From the definition field of √
4 * x ^ 2 - 10 * x + 4 ≥ 0 (3 )
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!
From inequality(3):
m ≤ 1/2 或 m ≥ 2
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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