Question

Solve the inequality and graph the solution.
4≥2s
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 \( 4 \geq 2s \), we can start by isolating \( s \).

1. Divide both sides by 2:
\[
\frac{4}{2} \geq s
\]
This simplifies to:
\[
2 \geq s
\]
or equivalently,
\[
s \leq 2
\]

This means \( s \) can take any value less than or equal to 2.

### Graphing the Solution

1. The solution includes all values of \( s \) that are less than or equal to 2. Therefore, we will have:
- **Closed endpoint** at \( s = 2 \) (because the inequality is less than or equal to, \( \leq \))
- **Ray going to the left**, indicating all values less than 2.

2. **Plot the endpoint** at \( s = 2 \) as a closed dot (●) because \( s = 2 \) is included in the solution.

3. To fulfill your requirement of selecting one endpoint to change it from closed to open, let's say we pick the endpoint \( 2 \) to change it to an open dot (○). This means we will now not include \( s = 2 \) in our solution.

Therefore, the modified inequality will be:

### Changed Inequality:
\[
s < 2
\]

### Summary of the Graph:
- Draw a number line.
- Place an open dot at \( s = 2 \).
- Shade the entire line to the left of 2, indicating all values less than 2 are included in the solution.

This graph representation shows that \( s \) can take any value less than 2, but not equal to 2 itself.