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 ((!(96)/!(96-n))/(96^n)) <0.0001 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( ( !( 96 ) / !( 96 - n ) ) / ( 96 ^ n ) ) <0.0001         (1)
        From the definition field of divisor
         96 ^ x ≠ 0        (2 )

    From inequality(1):
         n ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         n < -2953/18 或  -2953/18 < n < -163.975679 或  -163.975679 < n < -163.895802 或  -163.895802 < n < -163.815926 或  -163.815926 < n < -163.736049 或  -163.736049 < n < -163.656173 或  -163.656173 < n < -163.576296 或  -163.576296 < n < -8174821/50000 或  -8174821/50000 < n < -163.416543 或  -163.416543 < n < -163.336667 或  n > -163.336667

    From inequalities (1) and (2)
         n < -2953/18 或  -2953/18 < n < -163.975679 或  -163.975679 < n < -163.895802 或  -163.895802 < n < -163.815926 或  -163.815926 < n < -163.736049 或  -163.736049 < n < -163.656173 或  -163.656173 < n < -163.576296 或  -163.576296 < n < -8174821/50000 或  -8174821/50000 < n < -163.416543 或  -163.416543 < n < -163.336667 或  n > -163.336667    (3)

    The final solution set is :

         n < -2953/18 或  -2953/18 < n < -163.975679 或  -163.975679 < n < -163.895802 或  -163.895802 < n < -163.815926 或  -163.815926 < n < -163.736049 或  -163.736049 < n < -163.656173 或  -163.656173 < n < -163.576296 或  -163.576296 < n < -8174821/50000 或  -8174821/50000 < n < -163.416543 或  -163.416543 < n < -163.336667 或  n > -163.336667




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