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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality sqrt(x^2-1) <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( x ^ 2 - 1 ) <1 (1)
From the definition field of √
x ^ 2 - 1 ≥ 0 (2 )
From inequality(1):
-√2 < x < √2
From inequality(2):
x ≤ -1 或 x ≥ 1
From inequalities (1) and (2)
-√2 < x ≤ -1 或 1 ≤ x < √2 (3)
The final solution set is :
-√2 < x ≤ -1 或 1 ≤ x < √2Your problem has not been solved here? Please take a look at the hot problems !