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.

Question

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Closed Dot Open Dot

Answer 1

To determine whether to use an open dot or a closed dot when graphing inequalities on a number line, you can follow these general guidelines:

1. Closed Dot: Used for "less than or equal to" (≤) and "greater than or equal to" (≥) inequalities. This indicates that the endpoint is included in the solution set.

2. Open Dot: Used for "less than" (<) and "greater than" (>) inequalities. This indicates that the endpoint is not included in the solution set.

Here’s how you would categorize common inequalities:

| Inequality | Dot Type | |------------|------------------| | x < 5 | Open Dot | | x ≤ 3 | Closed Dot | | x > 7 | Open Dot | | x ≥ 2 | Closed Dot |

You can list the inequalities you have, and I can help you determine if they would use a closed dot or an open dot based on the guidelines above.