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[ 1/1Inequality]
Assignment:Find the solution set of inequality m <√(1-m^2) <2m .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
m < √ ( 1 - m ^ 2 ) (1)
√ ( 1 - m ^ 2 ) <2 * m (2)
From the definition field of √
1 - x ^ 2 ≥ 0 (3 )
From inequality(1):
m < 1/√2
From inequality(2):
m > 1/√5
From inequality(3):
-1 ≤ m ≤ 1
From inequalities (1) and (2)
1/√5 < m < 1/√2 (4)
From inequalities (3) and (4)
1/√5 < m < 1/√2 (5)
The final solution set is :
1/√5 < m < 1/√2 Your problem has not been solved here? Please take a look at the hot problems !