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    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality sqrt(a)+4√a >sqrt(a^2-6)+4√(a^2-6) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sqrt ( a ) + 4 * √ a > sqrt ( a ^ 2 - 6 ) + 4 * √ ( a ^ 2 - 6 )         (1)
        From the definition field of √
         x ≥ 0        (2 )
        From the definition field of √
        x ≥ 0        (3 )
        From the definition field of √
         x ^ 2 - 6 ≥ 0        (4 )
        From the definition field of √
         x ^ 2 - 6 ≥ 0        (5 )

    From inequality(1):
         a < 3
    From inequality(2):
         a ≥ 0
    From inequality(3):
         a ≥ 0
    From inequality(4):
         a ≤ -√6 或  a ≥ √6
    From inequality(5):
         a ≤ -√6 或  a ≥ √6

    From inequalities (1) and (2)
         0 ≤ a < 3    (6)
    From inequalities (3) and (6)
         0 ≤ a < 3    (7)
    From inequalities (4) and (7)
         √6 ≤ a < 3    (8)
    From inequalities (5) and (8)
         √6 ≤ a < 3    (9)

    The final solution set is :

         √6 ≤ a < 3




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