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((4x^2+1)/(x^2-x+1)) <3 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         abs ( ( 4 * x ^ 2 + 1 ) / ( x ^ 2 - x + 1 ) ) <3         (1)
        From the definition field of divisor
         x ^ 2 - x + 1 ≠ 0        (2 )

    From inequality(1):
         -3.561553 < x < 0.561553
    From inequality(2):
         x ∈ 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)
         -3.561553 < x < 0.561553     (3)

    The final solution set is :

         -3.561553 < x < 0.561553




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