Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 2 questions will be solved this time.Among them
           ☆1 inequalities
           ☆1 equations

[ 1/2Inequality]
    Assignment:Find the solution set of inequality 480 ≤600-4X ≤520 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        480 ≤600 - 4 * x         (1)
        600 - 4 * x ≤520         (2)

    From inequality(1):
         x ≤ 30
    From inequality(2):
         x ≥ 20

    From inequalities (1) and (2)
         20 ≤ x ≤ 30    (3)

    The final solution set is :

         20 ≤ x ≤ 30

[ 2/2 Equation]
    Work: Find the solution of equation 1200+(8-12X) = 0 .
    Question type: Equation
    Solution:Original question:
     1200 + (812 X ) = 0
    Remove the bracket on the left of the equation:
     Left side of the equation = 1200 + 812 X
                                             = 120812 X
    The equation is transformed into :
     120812 X = 0

    Transposition :
      - 12 X = 01208

    Combine the items on the right of the equation:
      - 12 X = - 1208

    By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
     1208 = 12 X

    If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
     12 X = 1208

    The coefficient of the unknown number is reduced to 1 :
      X = 1208 ÷ 12
        = 1208 ×
1
12
        = 302 ×
1
3

    We obtained :
      X =
302
3
    This is the solution of the equation.

    Convert the result to decimal form :
      X = 100.666667




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