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History of Inequality Computation > Answer
Overview: 6 questions will be solved this time.Among them
☆6 inequalities
[ 1/6Inequality]
Assignment:Find the solution set of inequality x-3(x-2) >4 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
x - 3 * ( x - 2 ) >4 (1)
From inequality(1)：
x < 1
The final solution set is :
x < 1[ 2/6Inequality]
Assignment:Find the solution set of inequality (2x-1)/5 >= (x+1)/2-1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
( 2 * x - 1 ) / 5 >= ( x + 1 ) / 2 - 1 (1)
From inequality(1)：
x ≤ 3
The final solution set is :
x ≤ 3[ 3/6Inequality]
Assignment:Find the solution set of inequality 2x-5 <3x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
2 * x - 5 <3 * x (1)
From inequality(1)：
x ＞ -5
The final solution set is :
x ＞ -5[ 4/6Inequality]
Assignment:Find the solution set of inequality (x-2)/2 <
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities：
( x - 2 ) / 2 < (1)
< x / 3 (2)
From inequality(1)：
x < 2
From inequality(2)：
x ＞ 0
From inequalities (1) and (2)
0 < x < 2 (3)
The final solution set is :
0 < x < 2 [ 5/6Inequality]
Assignment:Find the solution set of inequality 1-(x-1)/3 >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
1 - ( x - 1 ) / 3 >= 0 (1)
From inequality(1)：
x ≤ 4
The final solution set is :
x ≤ 4[ 6/6Inequality]
Assignment:Find the solution set of inequality 3-2(x-1) <3x .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality：
3 - 2 * ( x - 1 ) <3 * x (1)
From inequality(1)：
x ＞ 1
The final solution set is :
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