Question

Graph.
x≤7
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Answer 1

To graph the inequality \( x \leq 7 \), follow these steps:

1. **Draw the Number Line**: Draw a horizontal line that represents the number line.

2. **Plot the Point**: Find the point \( 7 \) on the number line and mark it.

3. **Use a Closed Dot**: Since the inequality includes \( \leq \) (less than or equal to), place a closed dot at \( 7 \) to indicate that this point is included in the solution set.

4. **Draw the Ray**: From the closed dot at \( 7 \), draw a ray that extends to the left (toward smaller numbers) forever. This reflects all values \( x \) that are less than or equal to \( 7 \).

5. **Check the Arrow**: At the end of the ray, ensure there is an arrow pointing left to indicate that the solution continues infinitely in that direction.

### Summary of Key Points for the Graph:
- Closed dot at \( 7 \) (indicating \( 7 \) is included).
- Ray extending to the left of \( 7 \).

This creates a visual representation of the solution to the inequality \( x \leq 7 \).