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

    From inequality(1):
         x < -0.618034
    From inequality(2):
         x ≤ 2
    From inequality(3):
         x ≥ -1

    From inequalities (1) and (2)
         x < -0.618034    (4)
    From inequalities (3) and (4)
         -1 ≤ x < -0.618034    (5)

    The final solution set is :

         -1 ≤ x < -0.618034




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