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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/ln(x+1)-1/x >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / ln ( x + 1 ) - 1 / x >0 (1)
From the definition field of ln
x + 1 > 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
x > -1
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
x > -1 (4)
From inequalities (3) and (4)
-1 < x < 0 或 x > 0 (5)
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 !