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

    From inequality(1):
         x > -33/16
    From inequality(2):
         x ≤ -1/√2 或  x ≥ 1/√2

    From inequalities (1) and (2)
         -33/16 < x ≤ -1/√2 或  x ≥ 1/√2    (3)

    The final solution set is :

         -33/16 < x ≤ -1/√2 或  x ≥ 1/√2




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