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