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 [2a+sqrt(4a*a-16)] <8 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 2 * a + sqrt ( 4 * a * a - 16 ) ) <8         (1)
        From the definition field of √
         4 * x * x - 16 ≥ 0        (2 )

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

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

    The final solution set is :

         a ≤ -2 或  2 ≤ a < 5/2




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