Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 2 questions will be solved this time.Among them
           ☆2 inequalities

[ 1/2Inequality]
    Assignment:Find the solution set of inequality -1     Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -1 < a - sqrt ( a * a - 1 )         (1)
        From the definition field of √
         x * x - 1 ≥ 0        (2 )

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

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

    The final solution set is :

         a ≤ -1 或  a ≥ 1

[ 2/2Inequality]
    Assignment:Find the solution set of inequality 3 >a+sqrt(a*a-1) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        3 > a + sqrt ( a * a - 1 )         (1)
        From the definition field of √
         x * x - 1 ≥ 0        (2 )

    From inequality(1):
         a < 5/3
    From inequality(2):
         a ≤ -1 或  a ≥ 1

    From inequalities (1) and (2)
         a ≤ -1 或  1 ≤ a < 5/3    (3)

    The final solution set is :

         a ≤ -1 或  1 ≤ a < 5/3




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