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

    From inequality(1):
         -0.866025 ≤ n ≤ -0.686141 或  0 ≤ n ≤ 0.866025 或  n ≥ 2.186141
    From inequality(2):
         n < -√3/2 或  -√3/2 < n < √3/2 或  n > √3/2
    From inequality(3):
         n < 0 或  n > 0

    From inequalities (1) and (2)
         -√3/2 < n ≤ -0.686141 或  0 ≤ n < √3/2 或  n ≥ 2.186141    (4)
    From inequalities (3) and (4)
         -√3/2 < n ≤ -0.686141 或  0 < n < √3/2 或  n ≥ 2.186141    (5)

    The final solution set is :

         -√3/2 < n ≤ -0.686141 或  0 < n < √3/2 或  n ≥ 2.186141




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