Question

Solve the inequality and graph the solution.
B/-1 < 4
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 \( \frac{B}{-1} < 4 \), we can start by manipulating it to isolate \( B \).

1. **Multiply both sides by -1**: When multiplying or dividing an inequality by a negative number, we must flip the inequality sign.
\[
B > -4
\]

So the solution to the inequality is \( B > -4 \).

### Graphing the Solution
1. **Draw a number line**.
2. **Identify the endpoint**: The endpoint here is \(-4\).
3. **Make \(-4\) an open endpoint**: Since the inequality is strictly greater than (\(>\)), we use an open circle at \(-4\).
4. **Shade to the right**: Shade the area to the right of \(-4\) to represent all the values of \( B \) that are greater than \(-4\).

Here’s how the graph looks:

- Open circle at \(-4\): \( \circ -4 \)
- Shaded line to the right, indicating all values greater than \(-4\).

### Summary:
- **Solution**: \( B > -4 \)
- **Graph**: Open circle at \(-4\) with shading to the right (indicating all values greater than \(-4\)).