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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 0.5*sqrt(16-x)+0.5sqrt(4-x) >= 2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        0.5 * sqrt ( 16 - x ) + 0.5 * sqrt ( 4 - x ) >= 2         (1)
        From the definition field of √
         16 - x ≥ 0        (2 )
        From the definition field of √
         4 - x ≥ 0        (3 )

    From inequality(1):
         x ≤ 15/4
    From inequality(2):
         x ≤ 16
    From inequality(3):
         x ≤ 4

    From inequalities (1) and (2)
         x ≤ 15/4    (4)
    From inequalities (3) and (4)
         x ≤ 15/4    (5)

    The final solution set is :

         x ≤ 15/4




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