Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 3 questions will be solved this time.Among them
           ☆3 inequalities

[ 1/3Inequality]
    Assignment:Find the solution set of inequality 3x-1/2-x ≥1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        3 * x - 1 / 2 - x ≥1         (1)

    From inequality(1):
         x ≥ 3/4

    The final solution set is :

         x ≥ 3/4

[ 2/3Inequality]
    Assignment:Find the solution set of inequality abs(3x+1) ≥3*abs(x-3) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         abs ( 3 * x + 1 ) ≥3 * abs ( x - 3 )         (1)

    From inequality(1):
         x ≥ 4/3

    The final solution set is :

         x ≥ 4/3

[ 3/3Inequality]
    Assignment:Find the solution set of inequality (x-3)^2/(x+1)*(x+2)*(x-6) ≤0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( x - 3 ) ^ 2 / ( x + 1 ) * ( x + 2 ) * ( x - 6 ) ≤0         (1)
        From the definition field of divisor
         x + 1 ≠ 0        (2 )

    From inequality(1):
         x ≤ -2 或  -1 ≤ x ≤ 3 或  3 ≤ x ≤ 3 或  3 ≤ x ≤ 6
    From inequality(2):
         x < -1 或  x > -1

    From inequalities (1) and (2)
         x ≤ -2 或  -1 < x ≤ 3 或  3 ≤ x ≤ 3 或  3 ≤ x ≤ 6    (3)

    The final solution set is :

         x ≤ -2 或  -1 < x ≤ 3 或  3 ≤ x ≤ 3 或  3 ≤ x ≤ 6




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