Mathematics
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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 -1 ≤x+sqrt(1-x) ≤1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        -1 ≤ x + sqrt ( 1 - x )         (1)
         x + sqrt ( 1 - x ) ≤1         (2)
        From the definition field of √
         1 - x ≥ 0        (3 )

    From inequality(1):
         x ≥ -3
    From inequality(2):
         x ≤ 0
    From inequality(3):
         x ≤ 1

    From inequalities (1) and (2)
         -3 ≤ x ≤ 0    (4)
    From inequalities (3) and (4)
         -3 ≤ x ≤ 0    (5)

    The final solution set is :

         -3 ≤ x ≤ 0




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