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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 ln(x+1)-ln(x-1) >2/x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
ln ( x + 1 ) - ln ( x - 1 ) >2 / x (1)
From the definition field of ln
x + 1 > 0 (2 )
From the definition field of ln
x - 1 > 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From inequality(1):
x < 660.887692 或 660.887692 < x < 669.456285 或 669.456285 < x < 679.387592 或 x > 679.387592
From inequality(2):
x > -1
From inequality(3):
x > 1
From inequality(4):
x < 0 或 x > 0
From inequalities (1) and (2)
-1 < x < 660.887692 或 660.887692 < x < 669.456285 或 669.456285 < x < 679.387592 或 x > 679.387592 (5)
From inequalities (3) and (5)
1 < x < 660.887692 或 660.887692 < x < 669.456285 或 669.456285 < x < 679.387592 或 x > 679.387592 (6)
From inequalities (4) and (6)
1 < x < 660.887692 或 660.887692 < x < 669.456285 或 669.456285 < x < 679.387592 或 x > 679.387592 (7)
The final solution set is :
1 < x < 660.887692 或 660.887692 < x < 669.456285 或 669.456285 < x < 679.387592 或 x > 679.387592Your problem has not been solved here? Please take a look at the hot problems !