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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 > -163.336667Your problem has not been solved here? Please take a look at the hot problems !