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 ≥ 6, use a closed circle.
x<2 or ≥6

Answer 1

Below is the completed table for the given inequality \( x < 2 \) or \( x \geq 6 \).

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

### Explanation:
- **Inequality Notation**: \( x < 2 \) uses an open circle at 2 because it's not inclusive. The \( x \geq 6 \) part uses a closed circle at 6 because it includes 6.
- **Graph**: The graph shows the appropriate circles and shaded areas to represent the solution set: everything less than 2 and everything from 6 onwards.
- **Interval Notation**: The intervals represent the same regions described in the inequality: all values less than 2 (to negative infinity) and all values starting from 6 (inclusive) to positive infinity.

This visual illustrates the solutions that satisfy the given inequalities.