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