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 (8*log(2,n))/n >1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 8 * log( 2 , n ) ) / n >1 (1)
From the definition field of log
2 > 0 (2 )
x > 0 also ≠ 1 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
n < 0 或 1.099997 < n < √189740917/√100000
From inequality(2):
n ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
0 < n < 1 或 n > 1
From inequality(4):
n < 0 或 n > 0
From inequalities (1) and (2)
n < 0 或 1.099997 < n < √189740917/√100000 (5)
From inequalities (3) and (5)
1.099997 < n < √189740917/√100000 (6)
From inequalities (4) and (6)
1.099997 < n < √189740917/√100000 (7)
The final solution set is :
1.099997 < n < √189740917/√100000 Your problem has not been solved here? Please take a look at the hot problems !