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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 {1+[lg(1+x)/(1-x)/1-[lg(1+x)/(1-x)]} ) >(1-lg2)/(1+lg2) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 1 + ( lg ( 1 + x ) / ( 1 - x ) / 1 - ( lg ( 1 + x ) / ( 1 - x ) ) ) ) > ( 1 - lg 2 ) / ( 1 + lg 2 ) (1)
From the definition field of lg
1 + x > 0 (2 )
From the definition field of divisor
1 - x ≠ 0 (3 )
From the definition field of lg
1 + x > 0 (4 )
From the definition field of divisor
1 - x ≠ 0 (5 )
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 < 1 或 x > 1
From inequality(4):
x > -1
From inequality(5):
x < 1 或 x > 1
From inequalities (1) and (2)
x > -1 (6)
From inequalities (3) and (6)
-1 < x < 1 或 x > 1 (7)
From inequalities (4) and (7)
-1 < x < 1 或 x > 1 (8)
From inequalities (5) and (8)
-1 < x < 1 或 x > 1 (9)
The final solution set is :
-1 < x < 1 或 x > 1Your problem has not been solved here? Please take a look at the hot problems !