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

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

    The final solution set is :

         a ≤ -1 或  a ≥ 0




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