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Assignment:Find the solution set of inequality 2m^2/(m^2-1) ≥m .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 * m ^ 2 / ( m ^ 2 - 1 ) ≥ m (1)
From the definition field of divisor
x ^ 2 - 1 ≠ 0 (2 )
From inequality(1):
m ≤ -1 或 -0.414214 ≤ m ≤ 0 或 1 ≤ m ≤ 2.414214
From inequality(2):
m < -1 或 -1 < m < 1 或 m > 1
From inequalities (1) and (2)
m < -1 或 -0.414214 ≤ m ≤ 0 或 1 < m ≤ 2.414214 (3)
The final solution set is :
m < -1 或 -0.414214 ≤ m ≤ 0 或 1 < m ≤ 2.414214 Your problem has not been solved here? Please take a look at the hot problems !