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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 1 ≤abs(a(2a^2+9a+1)/6) ≤5 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        1 ≤ abs ( a * ( 2 * a ^ 2 + 9 * a + 1 ) / 6 )         (1)
         abs ( a * ( 2 * a ^ 2 + 9 * a + 1 ) / 6 ) ≤5         (2)

    From inequality(1):
         a ≤ -4.535593 或  -4.212214 ≤ a ≤ -1 或  a ≥ 0.712214
    From inequality(2):
         -5 ≤ a ≤ 1.535593

    From inequalities (1) and (2)
         -5 ≤ a ≤ -4.535593 或  -4.212214 ≤ a ≤ -1 或  0.712214 ≤ a ≤ 1.535593    (3)

    The final solution set is :

         -5 ≤ a ≤ -4.535593 或  -4.212214 ≤ a ≤ -1 或  0.712214 ≤ a ≤ 1.535593




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