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 2n-1/(2n+1)(2n-1)+6 ≥2n-3/(2n-1)(2n-3)+6 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 * n - 1 / ( 2 * n + 1 ) * ( 2 * n - 1 ) + 6 ≥2 * n - 3 / ( 2 * n - 1 ) * ( 2 * n - 3 ) + 6 (1)
From the definition field of divisor
2 * x + 1 ≠ 0 (2 )
From the definition field of divisor
2 * x - 1 ≠ 0 (3 )
From inequality(1):
n ≤ -0.724745 或 -0.5 ≤ n ≤ 0.5 或 n ≥ 1.724745
From inequality(2):
n < -1/2 或 n > -1/2
From inequality(3):
n < 1/2 或 n > 1/2
From inequalities (1) and (2)
n ≤ -0.724745 或 -1/2 < n ≤ 0.5 或 n ≥ 1.724745 (4)
From inequalities (3) and (4)
n ≤ -0.724745 或 -1/2 < n < 1/2 或 n ≥ 1.724745 (5)
The final solution set is :
n ≤ -0.724745 或 -1/2 < n < 1/2 或 n ≥ 1.724745Your problem has not been solved here? Please take a look at the hot problems !