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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 (-x+sqrt(x*x-1/2))/2 <2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -x + sqrt ( x * x - 1 / 2 ) ) / 2 <2 (1)
From the definition field of √
x * x - 1 / 2 ≥ 0 (2 )
From inequality(1):
x > -33/16
From inequality(2):
x ≤ -1/√2 或 x ≥ 1/√2
From inequalities (1) and (2)
-33/16 < x ≤ -1/√2 或 x ≥ 1/√2 (3)
The final solution set is :
-33/16 < x ≤ -1/√2 或 x ≥ 1/√2Your problem has not been solved here? Please take a look at the hot problems !