linear inequalities

If $$a > b$$ , which of the following is true? Options: $$a-3 < b-3$$ , $$-2a > -2b$$ , $$\frac{a}{4} < \frac{b}{4}$$ , $$-\frac{a}{2} < -\frac{b}{2}$$

一个不等式组中的两个不等式的解集在数轴上的表示如图所示，则这个不等式组的解集为 what is the solution set same as the diagram Options: $$-1\le x<2$$ , $$-1<x\le2$$ , $$-1<x<2$$ , 无解

Solve the system of inequalities: $$x \le 1$$ and $$x + 2 < 1$$ . What is the greatest integer of the solution?

If the system of inequalities $$x>2$$ and $$x<m$$ has no solution, what is the range of m?

Solution set of the system of inequalities: $$x>-1$$ , $$x\ge2$$ , $$x<5$$

Solve the inequality: $$\frac{a+2}{2}+\frac{2a-1}{3}\ge\frac{5a+2}{6}+1$$

$$\frac{4x-1}{3}-1\ge\frac{1-x}{2}$$

System inequalities with solution set $$2<x<3$$ :
- $$x>2$$
- $$x>3$$
- $$x<2$$
- $$x<3$$

Solution set of the system of inequalities: $$x+1\le0$$ and $$2x+3<5$$ . Options: A, B, C, D.

Three numbers $$a,\ 1+a,\ -a$$ are located on the number line from left to right. Find the range of "a".