Question

Complete the table below. Each row represents an inequality in Inequality Notation, as a Graph and in Interval Notation

For Graphing: If the symbol in the inequality is
< or > , use an open circle. If the symbol in the inequality is ≤ or ≥, use a closed circle.
|x| ≥ 2

Answer 1

Let's complete the table for the inequality |x| ≥ 2.

### Inequality Notation
| Inequality |
|---------------------|
| |x| ≥ 2 |

### Graph
- On a number line, we will have closed circles at -2 and 2 (indicating that these points are included).
- The arrows will extend to the left from -2 and to the right from 2.

```
<----•----|----•---->
-2 2
```

### Interval Notation
- The solution includes all values less than or equal to -2 and all values greater than or equal to 2. Therefore, the interval notation is:

\[
(-\infty, -2] \cup [2, \infty)
\]

### Completed Table
| Inequality | Graph | Interval Notation |
|---------------------|-------------------------------------------|-------------------------------|
| |x| ≥ 2 | <----•----|----•----> | (-∞, -2] ∪ [2, ∞) |

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