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 2n-1/(2n+1)(2n-1)+6 ≥2n-3/(2n-1)(2n-3)+6 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        2 * n - 1 / ( 2 * n + 1 ) * ( 2 * n - 1 ) + 6 ≥2 * n - 3 / ( 2 * n - 1 ) * ( 2 * n - 3 ) + 6         (1)
        From the definition field of divisor
         2 * x + 1 ≠ 0        (2 )
        From the definition field of divisor
         2 * x - 1 ≠ 0        (3 )

    From inequality(1):
         n ≤ -0.724745 或  -0.5 ≤ n ≤ 0.5 或  n ≥ 1.724745
    From inequality(2):
         n < -1/2 或  n > -1/2
    From inequality(3):
         n < 1/2 或  n > 1/2

    From inequalities (1) and (2)
         n ≤ -0.724745 或  -1/2 < n ≤ 0.5 或  n ≥ 1.724745    (4)
    From inequalities (3) and (4)
         n ≤ -0.724745 或  -1/2 < n < 1/2 或  n ≥ 1.724745    (5)

    The final solution set is :

         n ≤ -0.724745 或  -1/2 < n < 1/2 或  n ≥ 1.724745




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