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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 0 <2a-√(4a*a-4) <2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        0 <2 * a - √ ( 4 * a * a - 4 )         (1)
        2 * a - √ ( 4 * a * a - 4 ) <2         (2)
        From the definition field of √
         4 * x * x - 4 ≥ 0        (3 )

    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
    From inequality(3):
         a ≤ -1 或  a ≥ 1

    From inequalities (1) and (2)
         a > 1    (4)
    From inequalities (3) and (4)
         a > 1    (5)

    The final solution set is :

         a > 1




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