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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆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 ≥ 4




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