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

    From inequality(1):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(2):
         x ≤ -√2 或  x ≥ √2

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

    The final solution set is :

         x ≤ -√2 或  x ≥ √2




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