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☆1 inequalities
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Assignment:Find the solution set of inequality (4x^2-20x+8)/(x^2-5x+4) ≥3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 4 * x ^ 2 - 20 * x + 8 ) / ( x ^ 2 - 5 * x + 4 ) ≥3 (1)
From the definition field of divisor
x ^ 2 - 5 * x + 4 ≠ 0 (2 )
From inequality(1):
x ≤ -0.701562 或 1 ≤ x ≤ 4 或 x ≥ 5.701562
From inequality(2):
x < 1 或 1 < x < 4 或 x > 4
From inequalities (1) and (2)
x ≤ -0.701562 或 1 < x < 4 或 x ≥ 5.701562 (3)
The final solution set is :
x ≤ -0.701562 或 1 < x < 4 或 x ≥ 5.701562Your problem has not been solved here? Please take a look at the hot problems !