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           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality √40 ≥0.4√(50-x)+0.8√x .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         √ 40 ≥0.4 * √ ( 50 - x ) + 0.8 * √ x         (1)
        From the definition field of √
         50 - x ≥ 0        (2 )
        From the definition field of √
        x ≥ 0        (3 )

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    From inequality(1)：
         x ≤ 40 或  40 ≤ x ≤ 40 或  x ≥ 40
    From inequality(2)：
         x ≤ 50
    From inequality(3)：
         x ≥ 0

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    From inequalities (1) and (2)
         x ≤ 40 或  40 ≤ x ≤ 40 或  40 ≤ x ≤ 50    (4)
    From inequalities (3) and (4)
         0 ≤ x ≤ 40 或  40 ≤ x ≤ 40 或  40 ≤ x ≤ 50    (5)

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    The final solution set is :
         0 ≤ x ≤ 40 或  40 ≤ x ≤ 40 或  40 ≤ x ≤ 50

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