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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    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




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