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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -2*sqrt(x(1-x))+(8/3)x
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-2 * sqrt ( x * ( 1 - x ) ) + ( 8 / 3 ) * x < x (1)
From the definition field of √
x * ( 1 - x ) ≥ 0 (2 )
From inequality(1):
0 < x < 0.590164
From inequality(2):
0 ≤ x ≤ 1
From inequalities (1) and (2)
0 < x < 0.590164 (3)
The final solution set is :
0 < x < 0.590164 Your problem has not been solved here? Please take a look at the hot problems !