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

    From inequality(1):
         x < 3/2
    From inequality(2):
         x ≤ -√2 或  x ≥ √2

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

    The final solution set is :

         x ≤ -√2 或  √2 ≤ x < 3/2




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