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 (9^(n))/(4^(n)) >3(sqrt(3))/(4)*10^(6) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 9 ^ ( n ) ) / ( 4 ^ ( n ) ) >3 * ( sqrt ( 3 ) ) / ( 4 ) * 10 ^ ( 6 )         (1)
        From the definition field of divisor
         4 ^ ( x ) ≠ 0        (2 )

    From inequality(1):
         n < -19.931569 或  n > 17.359243
    From inequality(2):
         n < -542.062881 或  -542.062881 < n < -541.610247 或  -541.610247 < n < -541.157613 或  -541.157613 < n < -540.704979 或  -540.704979 < n < -540.252346 或  -540.252346 < n < -539.799712 或  -539.799712 < n < -539.347078 或  -539.347078 < n < -97001/180 或  -97001/180 < n < -538.441811 或  -538.441811 < n < -537.989177 或  n > -537.989177

    From inequalities (1) and (2)
         n < -542.062881 或  -542.062881 < n < -541.610247 或  -541.610247 < n < -541.157613 或  -541.157613 < n < -540.704979 或  -540.704979 < n < -540.252346 或  -540.252346 < n < -539.799712 或  -539.799712 < n < -539.347078 或  -539.347078 < n < -97001/180 或  -97001/180 < n < -538.441811 或  -538.441811 < n < -537.989177 或  -537.989177 < n < -19.931569 或  n > 17.359243    (3)

    The final solution set is :

         n < -542.062881 或  -542.062881 < n < -541.610247 或  -541.610247 < n < -541.157613 或  -541.157613 < n < -540.704979 或  -540.704979 < n < -540.252346 或  -540.252346 < n < -539.799712 或  -539.799712 < n < -539.347078 或  -539.347078 < n < -97001/180 或  -97001/180 < n < -538.441811 或  -538.441811 < n < -537.989177 或  -537.989177 < n < -19.931569 或  n > 17.359243




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