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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (2-x)^(1/3)+√(x-1) >1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 2 - x ) ^ ( 1 / 3 ) + √ ( x - 1 ) >1 (1)
From the definition field of √
x - 1 ≥ 0 (2 )
From inequality(1):
x > 1
From inequality(2):
x ≥ 1
From inequalities (1) and (2)
x > 1 (3)
The final solution set is :
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