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Assignment:Find the solution set of inequality x-sqrt(x^2-4) <2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
x - sqrt ( x ^ 2 - 4 ) <2 (1)
From the definition field of √
x ^ 2 - 4 ≥ 0 (2 )
From inequality(1):
x > 2
From inequality(2):
x ≤ -2 或 x ≥ 2
From inequalities (1) and (2)
x > 2 (3)
The final solution set is :
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