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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/sqrt(ln(1+x)) ≤2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / sqrt ( ln ( 1 + x ) ) ≤2 (1)
From the definition field of ln
1 + x > 0 (2 )
From the definition field of √
ln ( 1 + x ) ≥ 0 (3 )
From inequality(1):
x ≤ 0 或 x ≥ 0.284025
From inequality(2):
x > -1
From inequality(3):
x ≥ 0
From inequalities (1) and (2)
-1 < x ≤ 0 或 x ≥ 0.284025 (4)
From inequalities (3) and (4)
0 ≤ x ≤ 0 或 x ≥ 0.284025 (5)
The final solution set is :
0 ≤ x ≤ 0 或 x ≥ 0.284025Your problem has not been solved here? Please take a look at the hot problems !