Question

Solve the inequality and graph the solution.
s
4
≥
–
1
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it.

Answer 1

To solve the inequality \( s/4 \geq -1 \), we will first isolate \( s \).

1. Multiply both sides of the inequality by 4. (Since we are multiplying by a positive number, the direction of the inequality will not change):
\[
s \geq -4
\]

So, the solution to the inequality is:
\[
s \geq -4
\]

### Graphing the Solution
To graph the solution \( s \geq -4 \):

1. **Plot the endpoint** at \( s = -4 \). Since the inequality is \( \geq \), we will use a **closed circle** to represent that \( -4 \) is included in the solution.

2. **Shade to the right** of \( -4 \) to indicate all values greater than \( -4 \) are also included in the solution.

### Changing an Endpoint from Closed to Open
Since the problem asks to select an endpoint to change from closed to open, we could hypothetically say we would change \( -4 \) from a closed circle to an open circle. However, doing so would not accurately represent the solution to the inequality as it does not satisfy the original condition. Thus, we should maintain \( -4 \) as a closed endpoint.

### Middle Part of the Segment, Ray, or Line to Delete
Since there are no segments or rays that can be deleted in this case, we keep the right-side shading intact, which means the inequality includes all numbers to the right of \( -4 \) and \( -4 \) itself.

In summary, the solution is:
- **Endpoint**: \( -4 \) (closed circle)
- **Shading**: All values greater than \( -4 \), extending right along the number line.

You can now visualize or graph that \( s \geq -4 \) accordingly.