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 or x ≥ 6

Answer 1

To complete the table for the inequality \( x < 2 \) or \( x \geq 6 \), we will include three components: Inequality Notation, Graph, and Interval Notation.

### Inequality Notation
1. \( x < 2 \)
2. \( x \geq 6 \)

### Graphing
- For \( x < 2 \): an open circle at 2, shaded to the left.
- For \( x \geq 6 \): a closed circle at 6, shaded to the right.

### Interval Notation
- For \( x < 2 \): \((-∞, 2)\)
- For \( x \geq 6 \): \([6, ∞)\)

### Completed Table

| Inequality Notation | Graph | Interval Notation |
|---------------------|----------------------------------|---------------------|
| \( x < 2 \) |  | \((-∞, 2)\) |
| \( x \geq 6 \) |  | \([6, ∞)\) |

### Combined Representation
The overall representation of the solution \( x < 2 \) or \( x \geq 6 \) in interval notation is:
\[
(-\infty, 2) \cup [6, \infty)
\]

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