Mathematics
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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(2x^3/(3x^2-1)) <= 1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         abs ( 2 * x ^ 3 / ( 3 * x ^ 2 - 1 ) ) <= 1         (1)
        From the definition field of divisor
         3 * x ^ 2 - 1 ≠ 0        (2 )

    From inequality(1):
         -1/2 ≤ x ≤ 1/2
    From inequality(2):
         x < -1/√3 或  -1/√3 < x < 1/√3 或  x > 1/√3

    From inequalities (1) and (2)
         -1/2 ≤ x ≤ 1/2    (3)

    The final solution set is :

         -1/2 ≤ x ≤ 1/2




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