According to the set of inequality solutions expressed on the number axis, write out the inequalities satisfying the following conditions (at least 3 for each sub problem) 1. If x ≥ 1, you can write why (2 more) 2. X < 2 can also write why

According to the set of inequality solutions expressed on the number axis, write out the inequalities satisfying the following conditions (at least 3 for each sub problem) 1. If x ≥ 1, you can write why (2 more) 2. X < 2 can also write why

1.2x>=2,x+5>=6 3x-2>=1
2.3x

Given that the solution set of inequality about X is on the number axis, as shown in the figure, find the solution set of inequality (A-3) x > A-3 about X
The solution set of a is a < 3

Yujie Bingqing 1997,
Because a

Solve the inequality - 5 + 3 / X ≥ 8 / 4x + 1 - 2 / 7, and express the solution set on the number axis

Take 24 on both sides
‘-120+8x≥3(4x+1)-84
‘-120+8x≥12x+3-84
4x≤-41
So x ≤ - 41 / 4
Draw it. Click here at - 41 / 4, on his left

Solve the inequality 2 + 3 1-4x ≤ 5-2 x + 2, and express the solution set on the number axis

2+1/3-4x≤5-x/2+2
2+1/3-5-2≤4x-x/2
-14/3≤7x/2
x≥-4/3

Find the solution set of inequality half x greater than or equal to minus half x minus three and its negative integer solution

x/2≥-x/2-3
x≥-3
The solution set of inequality is {x | x ≥ - 3}; the solution set of negative integer is {- 3, - 2, - 1}

Solve the system of inequalities x minus four less than or equal to three-thirds (two x minus one) two x minus one-half plus three X less than one, and obtain the integer solution of the system of inequalities

X is greater than or equal to minus five fourths and less than three tenths
So the integer solution is negative one and zero

To solve the system of inequalities: one third X-8 ＜ 0.1 minus one half x ≤ - one third x

(x-8)/3﹤0 (1)
1-(1/2)x≤-(1/3)x (2)
Solution (1) X-8 < 0, x < 8
Solution (2) - (1 / 2) + (1 / 3) x ≤ - 1, - (1 / 6) x ≤ - 1, X ≥ 6
Therefore, the solution of inequality system is: 6 ≤ x < 8

Solving the system of inequalities 1-half (x + 1) ≤ x + 2, X (x-1) ≥ (x + 3) (x-3)

1-1 / 2 (x + 1) ≤ x + 2 or 1-1 / 2 (x + 1) ≤ x + 2
1-1/2x-1/2≤x+2 2-x-1≤2x+4
-3/2x≤3/2 -3x≤3
x≥-1 x≥-1
x(x-1)≥(x+3)(x-3)
x^2-x≥x^2-9
-x≥-9
x≤9
The solution set of inequality system is - 1 ≤ x ≤ 9

The minimum integer solution of inequality 5x-2 ＞ 23 (5x-13) is______ ．

If both sides of inequality 5x-2 ＞ 23 (5x-13) multiply by 3 at the same time, we can get 15x-6 ＞ 10x-26; if we move and merge the similar terms, we can get 5x ＞ - 20; if both sides of inequality divide by - 5 at the same time, we can get x ＞ - 4; the minimum integer solution of inequality 5x-2 ＞ 23 (5x-13) is - 3; so the answer is: - 3

Finding the minimum integer solution of inequality 5x-2 ≥ 2 / 3 (5x-13)

5x-2≥2/3（5x-13)
3(5x-2)≥2（5x-13)
15x-6≥10x-26
5x≥-20
x≥-4
So the minimum integer solution is - 4
Willing to adopt