Question

Match the inequalities to the correct column. When graphing them on a number line, would you use an open dot or a closed dot? Use the chart below for reference.


x>8


y<-2



j geq -1

b leq 12

Answer 1

Here’s how to categorize the inequalities and whether to use an open dot or a closed dot when graphing them on a number line:

### Column 1: Inequalities that use an open dot
- **x > 8**: This inequality means that x can be any number greater than 8, but not equal to 8. Therefore, it uses an **open dot** at 8.
- **y < -2**: This means that y can be any number less than -2, but not equal to -2. It also uses an **open dot** at -2.

### Column 2: Inequalities that use a closed dot
- **j ≥ -1**: This inequality means that j can be equal to -1 or any number greater than -1. Therefore, it uses a **closed dot** at -1.
- **b ≤ 12**: This means that b can be equal to 12 or any number less than 12. This also uses a **closed dot** at 12.

### Summary
- **Open Dot**:
- x > 8
- y < -2

- **Closed Dot**:
- j ≥ -1
- b ≤ 12