Question

Graph.
x>6
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 \( x > 6 \), follow these steps:

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

2. **Mark the Number 6:** Locate the point corresponding to \( x = 6 \) on the number line.

3. **Open Circle at 6:** Since \( x > 6 \) does not include 6, place an open circle (an empty circle) at the point representing 6. This indicates that 6 is not included in the solution set.

4. **Draw a Ray:** From the open circle at 6, draw a ray (a line with one endpoint) extending to the right (towards positive infinity) to show all numbers greater than 6.

5. **Label the Graph (optional):** You may label the graph with the inequality \( x > 6 \) for clarity.

The resulting graph will visually display the region where \( x \) can take values greater than 6.