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

[ 1/1Inequality]
    Assignment:Find the solution set of inequality sqrt（sqrt(10+a)）+sqrt（sqrt(7-a)） = 3a ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         sqrt ( sqrt ( 10 + a ) ) + sqrt ( sqrt ( 7 - a ) ) 3 * a ≥0         (1)
        From the definition field of √
         10 + x ≥ 0        (2 )
        From the definition field of √
         sqrt ( 10 + x ) ≥ 0        (3 )
        From the definition field of √
         7 - x ≥ 0        (4 )
        From the definition field of √
         sqrt ( 7 - x ) ≥ 0        (5 )

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    From inequality(1)：
         a ≥ -10
    From inequality(2)：
         a ≥ -10
    From inequality(3)：
         a ≥ -10
    From inequality(4)：
         a ≤ 7
    From inequality(5)：
         a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

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    From inequalities (1) and (2)
         a ≥ -10    (6)
    From inequalities (3) and (6)
         a ≥ -10    (7)
    From inequalities (4) and (7)
         -10 ≤ a ≤ 7    (8)
    From inequalities (5) and (8)
         -10 ≤ a ≤ 7    (9)

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    The final solution set is :
         -10 ≤ a ≤ 7

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