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☆1 inequalities
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Assignment:Find the solution set of inequality sqrt(ln(1+x))^3 ≥8 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( ln ( 1 + x ) ) ^ 3 ≥8 (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 ≥ 53.59815
From inequality(2):
x > -1
From inequality(3):
x ≥ 0
From inequalities (1) and (2)
x ≥ 53.59815 (4)
From inequalities (3) and (4)
x ≥ 53.59815 (5)
The final solution set is :
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