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☆1 inequalities
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Assignment:Find the solution set of inequality abs((1+x+sqrt((1+x)^2-4x))/2) <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
abs ( ( 1 + x + sqrt ( ( 1 + x ) ^ 2 - 4 * x ) ) / 2 ) <1 (1)
From the definition field of √
( 1 + x ) ^ 2 - 4 * x ≥ 0 (2 )
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):
x ≤ 1 或 1 ≤ x ≤ 1 或 x ≥ 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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