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