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Bot There are different ways to represent inequalities graphically, but one common method is to plot a shaded region on a number line. Here's how you can graph the inequality x > -2:
1. Draw a number line with a point labeled at -2. This represents the "boundary" between the values of x that satisfy the inequality (to the right of -2) and those that do not (to the left of -2).
2. Draw an open circle (or an arrow) at -2 to indicate that this point is not included in the solution set.
3. Shade the region to the right of -2, using a solid line if x can also equal -2 or a dashed line if x must be strictly greater than -2.
4. Label the shaded region with the inequality symbol >, which means "greater than."
The resulting graph should look something like this:
```
|---------------|----------------|---------->
-3 -2 -1
```
The open circle at -2 indicates that x cannot equal -2, so the shaded region starts immediately to the right of it. Since the inequality symbol is >, the shaded region must include all values of x that are greater than -2, which is why the arrow points to the right. Note that any value of x to the right of -2, no matter how large or small, would satisfy the inequality x > -2.
Madeline