Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 5 questions will be solved this time.Among them
           ☆4 inequalities
           ☆1 equations

[ 1/5Inequality]
    Assignment:Find the solution set of inequality (3+x)/3 >1-(2-x)/2, .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 3 + x ) / 3 >1 - ( 2 - x ) / 2 ,         (1)

    From inequality(1):
         x < 6

    The final solution set is :

         x < 6

[ 2/5Inequality]
    Assignment:Find the solution set of inequality (-11)/12-(x-1)/3     Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( -11 ) / 12 - ( x - 1 ) / 3 < x / 4 ,         (1)

    From inequality(1):
         x > -1

    The final solution set is :

         x > -1

[ 3/5 Equation]
    Work: Find the solution of equation x = 1, .
    Question type: Equation
    Solution:
    
        x=1
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》

[ 4/5Inequality]
    Assignment:Find the solution set of inequality (7-x)/2 >= (3+4x)/5-1, .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 7 - x ) / 2 >= ( 3 + 4 * x ) / 5 - 1 ,         (1)

    From inequality(1):
         x ≤ 3

    The final solution set is :

         x ≤ 3

[ 5/5Inequality]
    Assignment:Find the solution set of inequality 6x+2(x-4) <= 5(x-4) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        6 * x + 2 * ( x - 4 ) <= 5 * ( x - 4 )         (1)

    From inequality(1):
         x ≤ -4

    The final solution set is :

         x ≤ -4




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