Question

Solve the inequality and graph the solution.
s
4
≤
–
2
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 \( s/4 \leq -2 \), we will first isolate \( s \).

1. Multiply both sides of the inequality by 4 to eliminate the fraction:

\[
s \leq -2 \times 4
\]

\[
s \leq -8
\]

Now, we can interpret the solution \( s \leq -8 \). This indicates that \( s \) can take any value less than or equal to -8.

### Graphing the Solution

1. **Plot the endpoint:** The endpoint is -8. Since the inequality is less than or equal to (≤), we will use a closed dot (●) to indicate that -8 is included in the solution.

2. **Select the middle of the segment to delete:** We are considering all values less than -8, which means we will shade to the left of -8 on the number line.

### Final Graph Representation

- Place a closed dot at -8.
- Shade the region to the left of -8 (indicating all numbers less than -8).

The resultant number line will visually represent the inequality with the included point at -8 and the shaded area extending to the left.

This is the final solution and graphical representation for the inequality \( s/4 \leq -2 \) (or \( s \leq -8 \)).