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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 x(8√(1-x)+√(1+x)) ≤11√(1+x)-16√(1-x) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x * ( 8 * √ ( 1 - x ) + √ ( 1 + x ) ) ≤11 * √ ( 1 + x ) - 16 * √ ( 1 - x )         (1)
        From the definition field of √
         1 - x ≥ 0        (2 )
        From the definition field of √
         1 + x ≥ 0        (3 )
        From the definition field of √
         1 + x ≥ 0        (4 )
        From the definition field of √
         1 - x ≥ 0        (5 )

    From inequality(1):
         x ≥ 3/5
    From inequality(2):
         x ≤ 1
    From inequality(3):
         x ≥ -1
    From inequality(4):
         x ≥ -1
    From inequality(5):
         x ≤ 1

    From inequalities (1) and (2)
         3/5 ≤ x ≤ 1    (6)
    From inequalities (3) and (6)
         3/5 ≤ x ≤ 1    (7)
    From inequalities (4) and (7)
         3/5 ≤ x ≤ 1    (8)
    From inequalities (5) and (8)
         3/5 ≤ x ≤ 1    (9)

    The final solution set is :

         3/5 ≤ x ≤ 1




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