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☆1 inequalities
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Assignment:Find the solution set of inequality 1/(1-ln(1+x)) ≤-1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / ( 1 - ln ( 1 + x ) ) ≤ -1 (1)
From the definition field of ln
1 + x > 0 (2 )
From the definition field of divisor
1 - ln ( 1 + x ) ≠ 0 (3 )
From inequality(1):
1.718282 ≤ x ≤ 6.389056
From inequality(2):
x > -1
From inequality(3):
x < 1.718282 或 x > 1.718282
From inequalities (1) and (2)
1.718282 ≤ x ≤ 6.389056 (4)
From inequalities (3) and (4)
1.718282 < x ≤ 6.389056 (5)
The final solution set is :
1.718282 < x ≤ 6.389056 Your problem has not been solved here? Please take a look at the hot problems !