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Assignment:Find the solution set of inequality sqrt(4-sqrt(1-x)) >sqrt(2-x) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( 4 - sqrt ( 1 - x ) ) > sqrt ( 2 - x ) (1)
From the definition field of √
1 - x ≥ 0 (2 )
From the definition field of √
4 - sqrt ( 1 - x ) ≥ 0 (3 )
From the definition field of √
2 - x ≥ 0 (4 )
From inequality(1):
x > -0.697224
From inequality(2):
x ≤ 1
From inequality(3):
x ≥ -15
From inequality(4):
x ≤ 2
From inequalities (1) and (2)
-0.697224 < x ≤ 1 (5)
From inequalities (3) and (5)
-0.697224 < x ≤ 1 (6)
From inequalities (4) and (6)
-0.697224 < x ≤ 1 (7)
The final solution set is :
-0.697224 < x ≤ 1 Your problem has not been solved here? Please take a look at the hot problems !