n<15 open or closed circle for graph bar
When graphing inequalities, the type of circle used indicates whether the endpoint is included in the solution set or not.
- A closed circle represents that the endpoint is included in the solution set. This corresponds to inequalities with "less than or equal to" (≤) or "greater than or equal to" (≥).
- An open circle represents that the endpoint is not included in the solution set. This corresponds to strict inequalities with "less than" (<) or "greater than" (>).
Given your inequality, n < 15:
You would use an open circle for graphing this inequality on a number line to indicate that n can be any number less than 15, but it cannot be equal to 15 itself. Here's how you would graph this:
1. Draw a horizontal line to represent the number line.
2. Label the point corresponding to 15.
3. Place an open circle at the point labeled 15 on the number line.
4. Shade the line to the left of the open circle to illustrate that all numbers less than 15 are included in the solution set.
The open circle on 15 and the shaded line to the left indicate all the numbers that n can be, which are less than 15, not including 15 itself.