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 x/(x+1)
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
x / ( x + 1 ) < ln ( x + 1 ) (1)
From the definition field of divisor
x + 1 ≠ 0 (2 )
ln ( x + 1 ) < x (3)
From the definition field of ln
x + 1 > 0 (4 )
From inequality(1):
-1 < x < 0 或 x > 0
From inequality(2):
x < -1 或 x > -1
From inequality(3):
x < 0 或 x > 0
From inequality(4):
x > -1
From inequalities (1) and (2)
-1 < x < 0 或 x > 0 (5)
From inequalities (3) and (5)
-1 < x < 0 或 x > 0 或 x > 0 (6)
From inequalities (4) and (6)
-1 < x < 0 或 x > 0 (7)
The final solution set is :
-1 < x < 0 或 x > 0Your problem has not been solved here? Please take a look at the hot problems !