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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality -2*sqrt(x(1-x))+(8/3)x+4/3
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-2 * sqrt ( x * ( 1 - x ) ) + ( 8 / 3 ) * x + 4 / 3 < x + 1 / 3 (1)
From the definition field of √
x * ( 1 - x ) ≥ 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):
0 ≤ x ≤ 1
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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