Example

On a number line, graph the compound inequality $-1 \le x \le 2$.

Solution

This compound inequality is an "AND" inequality. It means the same as $x\ge-1$ and $x \le 2$.

The numbers that satisfy the compound inequality are in the intersection of the two shaded regions.

This inequality describes all numbers between $-1$ and $2$, including $-1$ and $2$.

FYI: in interval notation, the region is described by $[-1,2]$.