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Assignment:Find the solution set of inequality (a^2+9)/(3*a^2-6*a+9) <= a/3+4/3 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( a ^ 2 + 9 ) / ( 3 * a ^ 2 - 6 * a + 9 ) <= a / 3 + 4 / 3 (1)
From the definition field of divisor
3 * x ^ 2 - 6 * x + 9 ≠ 0 (2 )
From inequality(1):
-3 ≤ a ≤ 1 或 1 ≤ a ≤ 1 或 a ≥ 1
From inequality(2):
a ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequalities (1) and (2)
-3 ≤ a ≤ 1 或 1 ≤ a ≤ 1 或 a ≥ 1 (3)
The final solution set is :
-3 ≤ a ≤ 1 或 1 ≤ a ≤ 1 或 a ≥ 1Your problem has not been solved here? Please take a look at the hot problems !