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Assignment:Find the solution set of inequality 0 <-m-3-√m2+4m-5 <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
0 < - m - 3 - √ m * 2 + 4 * m - 5 (1)
- m - 3 - √ m * 2 + 4 * m - 5 <1 (2)
From the definition field of √
x ≥ 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 < 4.398112
From inequality(3):
m ≥ 0
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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