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☆1 inequalities
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Assignment:Find the solution set of inequality (3x×x+4-3x-2sqrt(2x×x×x-2x×x+4x))÷2÷(x-1)÷(x-1) ≤(4x-2)÷(3x) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 3 * x × x + 4 - 3 * x - 2 * sqrt ( 2 * x × x × x - 2 * x × x + 4 * x ) ) ÷ 2 ÷ ( x - 1 ) ÷ ( x - 1 ) ≤ ( 4 * x - 2 ) ÷ ( 3 * x ) (1)
From the definition field of √
2 * x × x × x - 2 * x × x + 4 * x ≥ 0 (2 )
From inequality(1):
x ≤ 0 或 0 ≤ x ≤ 2 或 2 ≤ x ≤ 46.090552
From inequality(2):
x ≥ 0
From inequalities (1) and (2)
0 ≤ x ≤ 0 或 0 ≤ x ≤ 2 或 2 ≤ x ≤ 46.090552 (3)
The final solution set is :
0 ≤ x ≤ 0 或 0 ≤ x ≤ 2 或 2 ≤ x ≤ 46.090552Your problem has not been solved here? Please take a look at the hot problems !