Solve the inequality and graph the solution.

Question

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 \( s \leq -8 \)).