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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 sqrt(a^2)+abs(a) <4 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sqrt ( a ^ 2 ) + abs ( a ) <4         (1)
        From the definition field of √
         x ^ 2 ≥ 0        (2 )

    From inequality(1):
         -2 < a < 2
    From inequality(2):
         a ≤ 0 或  0 ≤ a ≤ 0 或  a ≥ 0

    From inequalities (1) and (2)
         -2 < a ≤ 0 或  0 ≤ a ≤ 0 或  0 ≤ a < 2    (3)

    The final solution set is :

         -2 < a ≤ 0 或  0 ≤ a ≤ 0 或  0 ≤ a < 2




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