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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 10000/x+10000/(x+4.8)+10000/(x+9.6)*3 <= 250 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        10000 / x + 10000 / ( x + 4.8 ) + 10000 / ( x + 9.6 ) * 3 <= 250         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
         x + 4.8 ≠ 0        (3 )
        From the definition field of divisor
         x + 9.6 ≠ 0        (4 )

    From inequality(1):
         x ≤ -9.6 或  -6.223093 ≤ x ≤ -4.8 或  -1.531831 ≤ x ≤ 0 或  x ≥ 193.354924
    From inequality(2):
         x < 0 或  x > 0
    From inequality(3):
         x < -24/5 或  x > -24/5
    From inequality(4):
         x < -48/5 或  x > -48/5

    From inequalities (1) and (2)
         x ≤ -9.6 或  -6.223093 ≤ x ≤ -4.8 或  -1.531831 ≤ x < 0 或  x ≥ 193.354924    (5)
    From inequalities (3) and (5)
         x ≤ -9.6 或  -6.223093 ≤ x < -24/5 或  -1.531831 ≤ x < 0 或  x ≥ 193.354924    (6)
    From inequalities (4) and (6)
         x < -48/5 或  -6.223093 ≤ x < -24/5 或  -1.531831 ≤ x < 0 或  x ≥ 193.354924    (7)

    The final solution set is :

         x < -48/5 或  -6.223093 ≤ x < -24/5 或  -1.531831 ≤ x < 0 或  x ≥ 193.354924




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