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

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

    From inequalities (1) and (2)
         x > √3    (4)
    From inequalities (3) and (4)
         √3 < x ≤ 2     (5)

    The final solution set is :

         √3 < x ≤ 2




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