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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (((!(96))/(!(96-n))/(96^n)) ) <0.1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( ( !( 96 ) ) / ( !( 96 - n ) ) / ( 96 ^ n ) ) ) <0.1 (1)
From the definition field of divisor
!( 96 - x ) ≠ 0 (2 )
From the definition field of divisor
96 ^ x ≠ 0 (3 )
From inequality(1):
n > 0.505629
From inequality(2):
n < 96 或 n > 96
From inequality(3):
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)
0.505629 < n < 96 或 n > 96 (4)
From inequalities (3) and (4)
0.505629 < n < 96 或 n > 96 (5)
The final solution set is :
0.505629 < n < 96 或 n > 96Your problem has not been solved here? Please take a look at the hot problems !