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