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Assignment:Find the solution set of inequality (-2m-2+sqrt(8m*m+4m+4))/(2m-2) <3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -2 * m - 2 + sqrt ( 8 * m * m + 4 * m + 4 ) ) / ( 2 * m - 2 ) <3 (1)
From the definition field of √
8 * x * x + 4 * x + 4 ≥ 0 (2 )
From the definition field of divisor
2 * x - 2 ≠ 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 或 m > 1
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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